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153031833465156 = 22326169686627261
BaseRepresentation
bin100010110010111010000000…
…000100101011000101000100
3202001211200220121000122121200
4202302322000010223011010
5130024233143331341111
61301245504225142500
744143120331044002
oct4262720004530504
9661750817018550
10153031833465156
1144840488506528
12151b671748aa30
136750abc56a219
1429b0acd065a72
1512a5a98716256
hex8b2e8012b144

153031833465156 has 36 divisors (see below), whose sum is σ = 393171951012204. Its totient is φ = 50174371627200.

The previous prime is 153031833465061. The next prime is 153031833465223. The reversal of 153031833465156 is 651564338130351.

153031833465156 is a `hidden beast` number, since 1 + 5 + 3 + 0 + 3 + 1 + 83 + 3 + 46 + 515 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77057076142656 + 75974757322500 = 8778216^2 + 8716350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1530318334651562 (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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34843311435 + ... + 34843315826.

Almost surely, 2153031833465156 is an apocalyptic number.

It is an amenable number.

153031833465156 is an abundant number, since it is smaller than the sum of its proper divisors (240140117547048).

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

153031833465156 is a wasteful number, since it uses less digits than its factorization.

153031833465156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69686627332 (or 69686627327 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 153031833465156 in words is "one hundred fifty-three trillion, thirty-one billion, eight hundred thirty-three million, four hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 69686627261 139373254522 209059881783 278746509044 418119763566 627179645349 836239527132 1254359290698 2508718581396 4250884262921 8501768525842 12752652788763 17003537051684 25505305577526 38257958366289 51010611155052 76515916732578 153031833465156