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147581500068 = 22351923334297
BaseRepresentation
bin1000100101110010001…
…0101111101010100100
3112002221012121222200000
42021130202233222210
54404221331000233
6151444211421300
713443131024022
oct2113442575244
9462835558600
10147581500068
1157652a00382
12247288b4830
1310bbc4b7102
1472004b7712
153c8b601d13
hex225c8afaa4

147581500068 has 144 divisors (see below), whose sum is σ = 408991302720. Its totient is φ = 46403311104.

The previous prime is 147581500043. The next prime is 147581500069. The reversal of 147581500068 is 860005185741.

147581500068 is a `hidden beast` number, since 1 + 4 + 7 + 5 + 81 + 500 + 0 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 147581499996 and 147581500032.

It is not an unprimeable number, because it can be changed into a prime (147581500069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4285896 + ... + 4320192.

It is an arithmetic number, because the mean of its divisors is an integer number (2840217380).

Almost surely, 2147581500068 is an apocalyptic number.

147581500068 is a gapful number since it is divisible by the number (18) 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 147581500068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204495651360).

147581500068 is an abundant number, since it is smaller than the sum of its proper divisors (261409802652).

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

147581500068 is a wasteful number, since it uses less digits than its factorization.

147581500068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34568 (or 34554 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 147581500068 in words is "one hundred forty-seven billion, five hundred eighty-one million, five hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 233 243 324 342 466 486 513 684 699 932 972 1026 1398 1539 2052 2097 2796 3078 4194 4427 4617 6156 6291 8388 8854 9234 12582 13281 17708 18468 18873 25164 26562 34297 37746 39843 53124 56619 68594 75492 79686 102891 113238 119529 137188 159372 205782 226476 239058 308673 358587 411564 478116 617346 651643 717174 926019 1075761 1234692 1303286 1434348 1852038 1954929 2151522 2606572 2778057 3704076 3909858 4303044 5556114 5864787 7819716 7991201 8334171 11112228 11729574 15982402 16668342 17594361 23459148 23973603 31964804 33336684 35188722 47947206 52783083 70377444 71920809 95894412 105566166 143841618 151832819 158349249 211132332 215762427 287683236 303665638 316698498 431524854 455498457 607331276 633396996 647287281 863049708 910996914 1294574562 1366495371 1821993828 1941861843 2589149124 2732990742 3883723686 4099486113 5465981484 7767447372 8198972226 12298458339 16397944452 24596916678 36895375017 49193833356 73790750034 147581500068