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42692243355360 = 25325136692168951
BaseRepresentation
bin10011011010100000011111…
…11111111111011011100000
312121011100010211202212220200
421231100033333333123200
521043432203244332420
6230444313522505200
711664261406014024
oct1155201777773340
9177140124685820
1042692243355360
111266a751431635
124956061b05200
131aa8b272acac1
14a7845c032384
154e07cad26b90
hex26d40ffff6e0

42692243355360 has 144 divisors (see below), whose sum is σ = 145698005849760. Its totient is φ = 11383760102400.

The previous prime is 42692243355337. The next prime is 42692243355367. The reversal of 42692243355360 is 6355334229624.

42692243355360 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 2 + 24 + 3 + 3 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 42692243355297 and 42692243355306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42692243355367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18598885 + ... + 20767835.

It is an arithmetic number, because the mean of its divisors is an integer number (1011791707290).

Almost surely, 242692243355360 is an apocalyptic number.

42692243355360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42692243355360 is an abundant number, since it is smaller than the sum of its proper divisors (103005762494400).

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

42692243355360 is a wasteful number, since it uses less digits than its factorization.

42692243355360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182641 (or 2182630 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 42692243355360 in words is "forty-two trillion, six hundred ninety-two billion, two hundred forty-three million, three hundred fifty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 13669 27338 41007 54676 68345 82014 109352 123021 136690 164028 205035 218704 246042 273380 328056 410070 437408 492084 546760 615105 656112 820140 984168 1093520 1230210 1312224 1640280 1968336 2168951 2187040 2460420 3280560 3936672 4337902 4920840 6506853 6561120 8675804 9841680 10844755 13013706 17351608 19520559 19683360 21689510 26027412 32534265 34703216 39041118 43379020 52054824 65068530 69406432 78082236 86758040 97602795 104109648 130137060 156164472 173516080 195205590 208219296 260274120 312328944 347032160 390411180 520548240 624657888 780822360 1041096480 1561644720 3123289440 29647391219 59294782438 88942173657 118589564876 148236956095 177884347314 237179129752 266826520971 296473912190 355768694628 444710868285 474358259504 533653041942 592947824380 711537389256 889421736570 948716519008 1067306083884 1185895648760 1334132604855 1423074778512 1778843473140 2134612167768 2371791297520 2668265209710 2846149557024 3557686946280 4269224335536 4743582595040 5336530419420 7115373892560 8538448671072 10673060838840 14230747785120 21346121677680 42692243355360