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152248589664 = 2531793289577
BaseRepresentation
bin1000110111001010111…
…0010001110101100000
3112112222110120201000020
42031302232101311200
54443301114332124
6153535251353440
713666601442153
oct2156256216540
9475873521006
10152248589664
11596283a5916
122560b8b2880
13114843942a2
147524279c9a
153e611e8379
hex2372b91d60

152248589664 has 48 divisors (see below), whose sum is σ = 423161525808. Its totient is φ = 47764262912.

The previous prime is 152248589657. The next prime is 152248589671. The reversal of 152248589664 is 466985842251.

152248589664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152248589657) and next prime (152248589671).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 152248589598 and 152248589607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46643157 + ... + 46646420.

It is an arithmetic number, because the mean of its divisors is an integer number (8815865121).

Almost surely, 2152248589664 is an apocalyptic number.

It is an amenable number.

152248589664 is an abundant number, since it is smaller than the sum of its proper divisors (270912936144).

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

152248589664 is a wasteful number, since it uses less digits than its factorization.

152248589664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93289607 (or 93289599 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 60.

The spelling of 152248589664 in words is "one hundred fifty-two billion, two hundred forty-eight million, five hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 93289577 186579154 279868731 373158308 559737462 746316616 1119474924 1492633232 1585922809 2238949848 2985266464 3171845618 4477899696 4757768427 6343691236 8955799392 9515536854 12687382472 19031073708 25374764944 38062147416 50749529888 76124294832 152248589664