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42942056599656 = 23331311997626139
BaseRepresentation
bin10011100001110001110100…
…00001111001000001101000
312122001012221202110120101000
421300320322001321001220
521112030312442142111
6231155150343355000
712021314123400354
oct1160707201710150
9178035852416330
1042942056599656
11127566954a9525
12499655ba52a60
131ac6559770b56
14a86599b0c464
154e704c550c56
hex270e3a079068

42942056599656 has 128 divisors (see below), whose sum is σ = 120798057600000. Its totient is φ = 14133369032640.

The previous prime is 42942056599601. The next prime is 42942056599679. The reversal of 42942056599656 is 65699565024924.

42942056599656 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 2 + 0 + 565 + 9 + 9 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 1817835 + ... + 9443973.

It is an arithmetic number, because the mean of its divisors is an integer number (943734825000).

Almost surely, 242942056599656 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 42942056599656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60399028800000).

42942056599656 is an abundant number, since it is smaller than the sum of its proper divisors (77856001000344).

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

42942056599656 is a wasteful number, since it uses less digits than its factorization.

42942056599656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626484 (or 7626474 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 72.

The spelling of 42942056599656 in words is "forty-two trillion, nine hundred forty-two billion, fifty-six million, five hundred ninety-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 199 216 262 393 398 524 597 786 796 1048 1179 1194 1572 1592 1791 2358 2388 3144 3537 3582 4716 4776 5373 7074 7164 9432 10746 14148 14328 21492 26069 28296 42984 52138 78207 104276 156414 208552 234621 312828 469242 625656 703863 938484 1407726 1876968 2815452 5630904 7626139 15252278 22878417 30504556 45756834 61009112 68635251 91513668 137270502 183027336 205905753 274541004 411811506 549082008 823623012 999024209 1517601661 1647246024 1998048418 2997072627 3035203322 3996096836 4552804983 5994145254 6070406644 7992193672 8991217881 9105609966 11988290508 12140813288 13658414949 17982435762 18211219932 23976581016 26973653643 27316829898 35964871524 36422439864 40975244847 53947307286 54633659796 71929743048 81950489694 107894614572 109267319592 163900979388 198805817591 215789229144 327801958776 397611635182 596417452773 795223270364 1192834905546 1590446540728 1789252358319 2385669811092 3578504716638 4771339622184 5367757074957 7157009433276 10735514149914 14314018866552 21471028299828 42942056599656