Search a number
-
+
25483907664 = 243517385559
BaseRepresentation
bin10111101110111101…
…011001001001010000
32102210000110122100000
4113232331121021100
5404142340021124
615412424330000
71561341432615
oct275675311120
972700418300
1025483907664
11a898002016
124b32613900
132531875a07
14133a75050c
159e240c6c9
hex5eef59250

25483907664 has 120 divisors (see below), whose sum is σ = 78311862720. Its totient is φ = 7994930688.

The previous prime is 25483907639. The next prime is 25483907671. The reversal of 25483907664 is 46670938452.

25483907664 is a `hidden beast` number, since 2 + 5 + 483 + 90 + 76 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25483907664.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 126684 + ... + 258875.

It is an arithmetic number, because the mean of its divisors is an integer number (652598856).

Almost surely, 225483907664 is an apocalyptic number.

25483907664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25483907664 is an abundant number, since it is smaller than the sum of its proper divisors (52827955056).

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

25483907664 is a wasteful number, since it uses less digits than its factorization.

25483907664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385599 (or 385581 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 25483907664 in words is "twenty-five billion, four hundred eighty-three million, nine hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3672 3888 4131 5508 7344 8262 11016 16524 22032 33048 66096 385559 771118 1156677 1542236 2313354 3084472 3470031 4626708 6168944 6554503 6940062 9253416 10410093 13109006 13880124 18506832 19663509 20820186 26218012 27760248 31230279 39327018 41640372 52436024 55520496 58990527 62460558 78654036 83280744 93690837 104872048 117981054 124921116 157308072 166561488 176971581 187381674 235962108 249842232 314616144 353943162 374763348 471924216 499684464 530914743 707886324 749526696 943848432 1061829486 1415772648 1499053392 1592744229 2123658972 2831545296 3185488458 4247317944 6370976916 8494635888 12741953832 25483907664