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42932756274288 = 24313716673916439
BaseRepresentation
bin10011100001100000011111…
…01011111101110001110000
312122000022221121021002101220
421300300033223331301300
521111402241101234123
6231151011433225040
712020534503053216
oct1160601753756160
9178008847232356
1042932756274288
1112752752731411
1249947a5262180
131ac5706a0a94a
14a85d5687acb6
154e6ba5cedce3
hex270c0fafdc70

42932756274288 has 80 divisors (see below), whose sum is σ = 111786226295040. Its totient is φ = 14197933700608.

The previous prime is 42932756274271. The next prime is 42932756274323. The reversal of 42932756274288 is 88247265723924.

It is a super-2 number, since 2×429327562742882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9003973 + ... + 12920411.

It is an arithmetic number, because the mean of its divisors is an integer number (1397327828688).

Almost surely, 242932756274288 is an apocalyptic number.

42932756274288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42932756274288 is an abundant number, since it is smaller than the sum of its proper divisors (68853470020752).

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

42932756274288 is a wasteful number, since it uses less digits than its factorization.

42932756274288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918254 (or 3918248 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 69.

The spelling of 42932756274288 in words is "forty-two trillion, nine hundred thirty-two billion, seven hundred fifty-six million, two hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 1667 2192 3288 3334 5001 6576 6668 10002 13336 20004 26672 40008 80016 228379 456758 685137 913516 1370274 1827032 2740548 3654064 3916439 5481096 7832878 10962192 11749317 15665756 23498634 31331512 46997268 62663024 93994536 187989072 536552143 1073104286 1609656429 2146208572 3219312858 4292417144 6438625716 6528703813 8584834288 12877251432 13057407626 19586111439 25754502864 26114815252 39172222878 52229630504 78344445756 104459261008 156688891512 313377783024 894432422381 1788864844762 2683297267143 3577729689524 5366594534286 7155459379048 10733189068572 14310918758096 21466378137144 42932756274288