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147072495920 = 24571991115173
BaseRepresentation
bin1000100011111000110…
…1000011000100110000
3112001121201211220020112
42020332031003010300
54402201024332140
6151321510000452
713424410405640
oct2107615030460
9461551756215
10147072495920
1157411653a99
1224606346128
1310b3abcb81c
147192a5a520
153c5baaac65
hex223e343130

147072495920 has 160 divisors (see below), whose sum is σ = 411839354880. Its totient is φ = 47715333120.

The previous prime is 147072495881. The next prime is 147072495931. The reversal of 147072495920 is 29594270741.

It is a happy number.

It is a super-3 number, since 3×1470724959203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9685454 + ... + 9700626.

It is an arithmetic number, because the mean of its divisors is an integer number (2573995968).

Almost surely, 2147072495920 is an apocalyptic number.

147072495920 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 147072495920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205919677440).

147072495920 is an abundant number, since it is smaller than the sum of its proper divisors (264766858960).

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

147072495920 is a wasteful number, since it uses less digits than its factorization.

147072495920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16123 (or 16117 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 147072495920 in words is "one hundred forty-seven billion, seventy-two million, four hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 911 1064 1330 1520 1822 2128 2660 3644 4555 5320 6377 7288 9110 10640 12754 14576 15173 17309 18220 25508 30346 31885 34618 36440 51016 60692 63770 69236 72880 75865 86545 102032 106211 121163 121384 127540 138472 151730 173090 212422 242326 242768 255080 276944 288287 303460 346180 424844 484652 510160 531055 576574 605815 606920 692360 849688 969304 1062110 1153148 1211630 1213840 1384720 1441435 1699376 1938608 2018009 2124220 2306296 2423260 2882870 4036018 4248440 4612592 4846520 5765740 8072036 8496880 9693040 10090045 11531480 13822603 16144072 20180090 23062960 27645206 32288144 40360180 55290412 69113015 80720360 96758221 110580824 138226030 161440720 193516442 221161648 262629457 276452060 387032884 483791105 525258914 552904120 774065768 967582210 1050517828 1105808240 1313147285 1548131536 1838406199 1935164420 2101035656 2626294570 3676812398 3870328840 4202071312 5252589140 7353624796 7740657680 9192030995 10505178280 14707249592 18384061990 21010356560 29414499184 36768123980 73536247960 147072495920