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147066417445000 = 2354531021543553
BaseRepresentation
bin100001011100000110010001…
…100100011111100010001000
3201021201102010111100022021211
4201130012101210133202020
5123234014010331220000
61240441213544542504
742656124631362214
oct4134062144374210
9637642114308254
10147066417445000
11429505766a7aa9
12145b2559781a34
13640a3c41a0a31
1428460a440b944
151200805a337ba
hex85c19191f888

147066417445000 has 160 divisors (see below), whose sum is σ = 351422565250680. Its totient is φ = 57659996160000.

The previous prime is 147066417444983. The next prime is 147066417445033. The reversal of 147066417445000 is 544714660741.

It can be written as a sum of positive squares in 20 ways, for example, as 65301817550116 + 81764599894884 = 8080954^2 + 9042378^2 .

It is a super-2 number, since 2×1470664174450002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270293224 + ... + 270836776.

Almost surely, 2147066417445000 is an apocalyptic number.

147066417445000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147066417445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175711282625340).

147066417445000 is an abundant number, since it is smaller than the sum of its proper divisors (204356147805680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147066417445000 is a wasteful number, since it uses less digits than its factorization.

147066417445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544653 (or 544634 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 147066417445000 in words is "one hundred forty-seven trillion, sixty-six billion, four hundred seventeen million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 625 1000 1021 1060 1250 1325 2042 2120 2500 2650 4084 5000 5105 5300 6625 8168 10210 10600 13250 20420 25525 26500 33125 40840 51050 53000 54113 66250 102100 108226 127625 132500 204200 216452 255250 265000 270565 432904 510500 541130 543553 638125 1021000 1082260 1087106 1276250 1352825 2164520 2174212 2552500 2705650 2717765 4348424 5105000 5411300 5435530 6764125 10822600 10871060 13528250 13588825 21742120 27056500 27177650 28808309 33820625 54113000 54355300 57616618 67641250 67944125 108710600 115233236 135282500 135888250 144041545 230466472 270565000 271776500 288083090 339720625 543553000 554967613 576166180 679441250 720207725 1109935226 1152332360 1358882500 1440415450 2219870452 2717765000 2774838065 2880830900 3601038625 4439740904 5549676130 5761661800 7202077250 11099352260 13874190325 14404154500 18005193125 22198704520 27748380650 28808309000 29413283489 36010386250 55496761300 58826566978 69370951625 72020772500 110993522600 117653133956 138741903250 144041545000 147066417445 235306267912 277483806500 294132834890 346854758125 554967613000 588265669780 693709516250 735332087225 1176531339560 1387419032500 1470664174450 2774838065000 2941328348900 3676660436125 5882656697800 7353320872250 14706641744500 18383302180625 29413283489000 36766604361250 73533208722500 147066417445000