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23250634464 = 2532918146141
BaseRepresentation
bin10101101001110110…
…001000011011100000
32020000101011121102210
4111221312020123200
5340104130300324
614403045442120
71452113063211
oct255166103340
966011147383
1023250634464
119951416892
12460a710340
132266c94595
1411a7cd1408
1591131bd29
hex569d886e0

23250634464 has 96 divisors (see below), whose sum is σ = 63487700640. Its totient is φ = 7441459200.

The previous prime is 23250634417. The next prime is 23250634483. The reversal of 23250634464 is 46443605232.

It is a tau number, because it is divible by the number of its divisors (96).

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, 480834 + ... + 526974.

It is an arithmetic number, because the mean of its divisors is an integer number (661330215).

Almost surely, 223250634464 is an apocalyptic number.

23250634464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23250634464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743850320).

23250634464 is an abundant number, since it is smaller than the sum of its proper divisors (40237066176).

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

23250634464 is a wasteful number, since it uses less digits than its factorization.

23250634464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46364 (or 46356 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 23250634464 in words is "twenty-three billion, two hundred fifty million, six hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 181 232 348 362 464 543 696 724 928 1086 1392 1448 2172 2784 2896 4344 5249 5792 8688 10498 15747 17376 20996 31494 41992 46141 62988 83984 92282 125976 138423 167968 184564 251952 276846 369128 503904 553692 738256 1107384 1338089 1476512 2214768 2676178 4014267 4429536 5352356 8028534 8351521 10704712 16057068 16703042 21409424 25054563 32114136 33406084 42818848 50109126 64228272 66812168 100218252 128456544 133624336 200436504 242194109 267248672 400873008 484388218 726582327 801746016 968776436 1453164654 1937552872 2906329308 3875105744 5812658616 7750211488 11625317232 23250634464