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242766527952 = 243131738322381
BaseRepresentation
bin1110001000011000000…
…0110011110111010000
3212012121211001101220010
43202012000303313100
512434141212343302
6303305253114520
723352660303654
oct3420600636720
9765554041803
10242766527952
1193a58415683
123b072028a40
1319b7b5ac510
14ba6dc7ca64
1564acc8316c
hex3886033dd0

242766527952 has 80 divisors (see below), whose sum is σ = 675457962368. Its totient is φ = 74689758720.

The previous prime is 242766527947. The next prime is 242766528029. The reversal of 242766527952 is 259725667242.

It is a junction number, because it is equal to n+sod(n) for n = 242766527892 and 242766527901.

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, 10835802 + ... + 10858182.

Almost surely, 2242766527952 is an apocalyptic number.

It is an amenable number.

242766527952 is an abundant number, since it is smaller than the sum of its proper divisors (432691434416).

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

242766527952 is a wasteful number, since it uses less digits than its factorization.

242766527952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39788 (or 39782 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 242766527952 in words is "two hundred forty-two billion, seven hundred sixty-six million, five hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 17383 22381 34766 44762 52149 67143 69532 89524 104298 134286 139064 179048 208596 225979 268572 278128 290953 358096 417192 451958 537144 581906 677937 834384 872859 903916 1074288 1163812 1355874 1745718 1807832 2327624 2711748 3491436 3615664 4655248 5423496 6982872 10846992 13965744 389048923 778097846 1167146769 1556195692 2334293538 3112391384 4668587076 5057635999 6224782768 9337174152 10115271998 15172907997 18674348304 20230543996 30345815994 40461087992 60691631988 80922175984 121383263976 242766527952