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165190622472 = 233219225212
BaseRepresentation
bin1001100111011000100…
…0001101110100001000
3120210101102022002102200
42121312020031310020
510201302244404342
6203515412200200
714635402060221
oct2316610156410
9523342262380
10165190622472
11640698886a7
1228022009060
131276774b375
147dd1036248
15446c4e994c
hex267620dd08

165190622472 has 108 divisors (see below), whose sum is σ = 472364861085. Its totient is φ = 52144767360.

The previous prime is 165190622459. The next prime is 165190622489. The reversal of 165190622472 is 274226091561.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

165190622472 is a `hidden beast` number, since 1 + 6 + 5 + 19 + 0 + 622 + 4 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87245799876 + 77944822596 = 295374^2 + 279186^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=287394.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65524572 + ... + 65527092.

Almost surely, 2165190622472 is an apocalyptic number.

165190622472 is a gapful number since it is divisible by the number (12) 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 165190622472

165190622472 is an abundant number, since it is smaller than the sum of its proper divisors (307174238613).

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

165190622472 is an equidigital number, since it uses as much as digits as its factorization.

165190622472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5092 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 165190622472 in words is "one hundred sixty-five billion, one hundred ninety million, six hundred twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2521 2888 3249 4332 5042 6498 7563 8664 10084 12996 15126 20168 22689 25992 30252 45378 47899 60504 90756 95798 143697 181512 191596 287394 383192 431091 574788 862182 910081 1149576 1724364 1820162 2730243 3448728 3640324 5460486 6355441 7280648 8190729 10920972 12710882 16381458 19066323 21841944 25421764 32762916 38132646 50843528 57198969 65525832 76265292 114397938 120753379 152530584 228795876 241506758 362260137 457591752 483013516 724520274 966027032 1086780411 1449040548 2173560822 2294314201 2898081096 4347121644 4588628402 6882942603 8694243288 9177256804 13765885206 18354513608 20648827809 27531770412 41297655618 55063540824 82595311236 165190622472