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152997214464 = 2832292289829
BaseRepresentation
bin1000111001111101011…
…0000011100100000000
3112121220122020210011200
42032133112003210000
510001314241330324
6154141433141200
714024261602563
oct2163726034400
9477818223150
10152997214464
1159981a367a6
122579a55a800
13115734c9b43
1475958704da
153ea6cc2ec9
hex239f583900

152997214464 has 108 divisors (see below), whose sum is σ = 456340220700. Its totient is φ = 49240461312.

The previous prime is 152997214399. The next prime is 152997214537. The reversal of 152997214464 is 464412799251.

152997214464 is a `hidden beast` number, since 1 + 529 + 9 + 72 + 1 + 4 + 46 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42028280064 + 110968934400 = 205008^2 + 333120^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152997214464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078099 + ... + 1211730.

Almost surely, 2152997214464 is an apocalyptic number.

It is an amenable number.

152997214464 is an abundant number, since it is smaller than the sum of its proper divisors (303343006236).

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

152997214464 is a wasteful number, since it uses less digits than its factorization.

152997214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289880 (or 2289863 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 152997214464 in words is "one hundred fifty-two billion, nine hundred ninety-seven million, two hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 3712 4176 5568 7424 8352 11136 16704 22272 33408 66816 2289829 4579658 6869487 9159316 13738974 18318632 20608461 27477948 36637264 41216922 54955896 66405041 73274528 82433844 109911792 132810082 146549056 164867688 199215123 219823584 265620164 293098112 329735376 398430246 439647168 531240328 586196224 597645369 659470752 796860492 879294336 1062480656 1195290738 1318941504 1593720984 1758588672 2124961312 2390581476 2637883008 3187441968 4249922624 4781162952 5275766016 6374883936 8499845248 9562325904 12749767872 16999690496 19124651808 25499535744 38249303616 50999071488 76498607232 152997214464