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25681905408 = 283193135623
BaseRepresentation
bin10111111010110000…
…101100011100000000
32110021211000222011210
4113322300230130000
5410044031433113
615444220210120
71566264410535
oct277260543400
973254028153
1025681905408
11a989847715
124b88999940
1325638ab843
141358b70d8c
15a049bd6c3
hex5fac2c700

25681905408 has 144 divisors (see below), whose sum is σ = 72191463680. Its totient is φ = 8082726912.

The previous prime is 25681905397. The next prime is 25681905437. The reversal of 25681905408 is 80450918652.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4564485 + ... + 4570107.

Almost surely, 225681905408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25681905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36095731840).

25681905408 is an abundant number, since it is smaller than the sum of its proper divisors (46509558272).

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

25681905408 is a wasteful number, since it uses less digits than its factorization.

25681905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5974 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 25681905408 in words is "twenty-five billion, six hundred eighty-one million, nine hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 313 384 456 608 626 768 912 939 1216 1252 1824 1878 2432 2504 3648 3756 4864 5008 5623 5947 7296 7512 10016 11246 11894 14592 15024 16869 17841 20032 22492 23788 30048 33738 35682 40064 44984 47576 60096 67476 71364 80128 89968 95152 106837 120192 134952 142728 179936 190304 213674 240384 269904 285456 320511 359872 380608 427348 539808 570912 641022 719744 761216 854696 1079616 1141824 1282044 1439488 1522432 1709392 1759999 2159232 2283648 2564088 3418784 3519998 4318464 4567296 5128176 5279997 6837568 7039996 10256352 10559994 13675136 14079992 20512704 21119988 27350272 28159984 33439981 41025408 42239976 56319968 66879962 82050816 84479952 100319943 112639936 133759924 168959904 200639886 225279872 267519848 337919808 401279772 450559744 535039696 675839616 802559544 1070079392 1351679232 1605119088 2140158784 3210238176 4280317568 6420476352 8560635136 12840952704 25681905408