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152466435055056 = 243171943228697823
BaseRepresentation
bin100010101010101011011011…
…101100111001110111010000
3201222211122112000011111011010
4202222223123230321313100
5124441002224333230211
61300134040251050520
744054223251621553
oct4252533354716720
9658748460144133
10152466435055056
1144642719884621
1215125024740a40
13670c6a542a985
1429915b441c69a
15129600647b4a6
hex8aaadbb39dd0

152466435055056 has 160 divisors (see below), whose sum is σ = 449199117987840. Its totient is φ = 44261261678592.

The previous prime is 152466435055049. The next prime is 152466435055057. The reversal of 152466435055056 is 650550534664251.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 152466435054987 and 152466435055005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152466435055057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113682240 + ... + 115015583.

It is an arithmetic number, because the mean of its divisors is an integer number (2807494487424).

Almost surely, 2152466435055056 is an apocalyptic number.

152466435055056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152466435055056 is an abundant number, since it is smaller than the sum of its proper divisors (296732682932784).

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

152466435055056 is a wasteful number, since it uses less digits than its factorization.

152466435055056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228697913 (or 228697907 counting only the distinct ones).

The product of its (nonzero) digits is 64800000, while the sum is 57.

The spelling of 152466435055056 in words is "one hundred fifty-two trillion, four hundred sixty-six billion, four hundred thirty-five million, fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 43 48 51 57 68 76 86 102 114 129 136 152 172 204 228 258 272 304 323 344 408 456 516 646 688 731 816 817 912 969 1032 1292 1462 1634 1938 2064 2193 2451 2584 2924 3268 3876 4386 4902 5168 5848 6536 7752 8772 9804 11696 13072 13889 15504 17544 19608 27778 35088 39216 41667 55556 83334 111112 166668 222224 333336 666672 228697823 457395646 686093469 914791292 1372186938 1829582584 2744373876 3659165168 3887862991 4345258637 5488747752 7775725982 8690517274 9834006389 10977495504 11663588973 13035775911 15551451964 17381034548 19668012778 23327177946 26071551822 29502019167 31102903928 34762069096 39336025556 46654355892 52143103644 59004038334 62205807856 69524138192 73869396829 78672051112 93308711784 104286207288 118008076668 147738793658 157344102224 167178108613 186617423568 186846121391 208572414576 221608190487 236016153336 295477587316 334356217226 373692242782 443216380974 472032306672 501534325839 560538364173 590955174632 668712434452 747384485564 886432761948 1003068651678 1121076728346 1181910349264 1337424868904 1494768971128 1772865523896 2006137303356 2242153456692 2674849737808 2989537942256 3176384063647 3545731047792 4012274606712 4484306913384 6352768127294 8024549213424 8968613826768 9529152190941 12705536254588 19058304381882 25411072509176 38116608763764 50822145018352 76233217527528 152466435055056