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25384136064 = 273717952757
BaseRepresentation
bin10111101001000000…
…110010110110000000
32102112001201201102120
4113221000302312000
5403441314323224
615354502044240
71556020411410
oct275100626600
972461651376
1025384136064
11a846757151
124b05119680
132516cb2171
14132b3bc640
159d87a0779
hex5e9032d80

25384136064 has 128 divisors (see below), whose sum is σ = 77490950400. Its totient is φ = 7211956224.

The previous prime is 25384136027. The next prime is 25384136083. The reversal of 25384136064 is 46063148352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 454774 + ... + 507530.

It is an arithmetic number, because the mean of its divisors is an integer number (605398050).

Almost surely, 225384136064 is an apocalyptic number.

25384136064 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 25384136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38745475200).

25384136064 is an abundant number, since it is smaller than the sum of its proper divisors (52106814336).

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

25384136064 is a wasteful number, since it uses less digits than its factorization.

25384136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52960 (or 52948 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 25384136064 in words is "twenty-five billion, three hundred eighty-four million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 179 192 224 336 358 384 448 537 672 716 896 1074 1253 1344 1432 2148 2506 2688 2864 3759 4296 5012 5728 7518 8592 10024 11456 15036 17184 20048 22912 30072 34368 40096 52757 60144 68736 80192 105514 120288 158271 160384 211028 240576 316542 369299 422056 481152 633084 738598 844112 1107897 1266168 1477196 1688224 2215794 2532336 2954392 3376448 4431588 5064672 5908784 6752896 8863176 9443503 10129344 11817568 17726352 18887006 20258688 23635136 28330509 35452704 37774012 47270272 56661018 66104521 70905408 75548024 113322036 132209042 141810816 151096048 198313563 226644072 264418084 302192096 396627126 453288144 528836168 604384192 793254252 906576288 1057672336 1208768384 1586508504 1813152576 2115344672 3173017008 3626305152 4230689344 6346034016 8461378688 12692068032 25384136064