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165130234764 = 223112617184321
BaseRepresentation
bin1001100111001010000…
…1110110101110001100
3120210020012200002001220
42121302201312232030
510201141320003024
6203505414003340
714634036556605
oct2316241665614
9523205602056
10165130234764
1164038792500
1228005946550
1312758096ab1
147dc6dd6dac
15446706be79
hex2672876b8c

165130234764 has 72 divisors (see below), whose sum is σ = 424204549104. Its totient is φ = 49958092800.

The previous prime is 165130234751. The next prime is 165130234781. The reversal of 165130234764 is 467432031561.

165130234764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 803724 + ... + 988044.

Almost surely, 2165130234764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165130234764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212102274552).

165130234764 is an abundant number, since it is smaller than the sum of its proper divisors (259074314340).

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

165130234764 is a wasteful number, since it uses less digits than its factorization.

165130234764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184967 (or 184954 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 165130234764 in words is "one hundred sixty-five billion, one hundred thirty million, two hundred thirty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 617 726 1234 1452 1851 2468 3702 6787 7404 13574 20361 27148 40722 74657 81444 149314 184321 223971 298628 368642 447942 552963 737284 895884 1105926 2027531 2211852 4055062 6082593 8110124 12165186 22302841 24330372 44605682 66908523 89211364 113726057 133817046 227452114 267634092 341178171 454904228 682356342 1250986627 1364712684 2501973254 3752959881 5003946508 7505919762 13760852897 15011839524 27521705794 41282558691 55043411588 82565117382 165130234764