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242506656968 = 231931027315289
BaseRepresentation
bin1110000111011010000…
…1011110110011001000
3212011221201001120220212
43201312201132303020
512433123201010333
6303223411140252
723343353400422
oct3416641366310
9764851046825
10242506656968
119393475a774
123abbaba4688
1319b397c1bc4
14ba47553812
15649504e448
hex387685ecc8

242506656968 has 32 divisors (see below), whose sum is σ = 457130328600. Its totient is φ = 120605442048.

The previous prime is 242506656941. The next prime is 242506656991. The reversal of 242506656968 is 869656605242.

242506656968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162733173604 + 79773483364 = 403402^2 + 282442^2 .

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 7 ways as a sum of consecutive naturals, for example, 15853868 + ... + 15869156.

Almost surely, 2242506656968 is an apocalyptic number.

It is an amenable number.

242506656968 is a deficient number, since it is larger than the sum of its proper divisors (214623671632).

242506656968 is a wasteful number, since it uses less digits than its factorization.

242506656968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25761 (or 25757 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 59.

The spelling of 242506656968 in words is "two hundred forty-two billion, five hundred six million, six hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 193 386 772 1544 10273 15289 20546 30578 41092 61156 82184 122312 1982689 2950777 3965378 5901554 7930756 11803108 15861512 23606216 157063897 314127794 628255588 1256511176 30313332121 60626664242 121253328484 242506656968