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13675685632 = 287171923627
BaseRepresentation
bin11001011110010001…
…00110011100000000
31022022002012210220021
430233020212130000
5211001433420012
610141005223224
7662616260410
oct145710463400
938262183807
1013675685632
115888628034
122797b61b14
13139c379c9b
1493a3b4640
15550920007
hex32f226700

13675685632 has 144 divisors (see below), whose sum is σ = 34772855040. Its totient is φ = 5225693184.

The previous prime is 13675685629. The next prime is 13675685663. The reversal of 13675685632 is 23658657631.

It is a self number, because there is not a number n which added to its sum of digits gives 13675685632.

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, 567003 + ... + 590629.

It is an arithmetic number, because the mean of its divisors is an integer number (241478160).

Almost surely, 213675685632 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 13675685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386427520).

13675685632 is an abundant number, since it is smaller than the sum of its proper divisors (21097169408).

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

13675685632 is a wasteful number, since it uses less digits than its factorization.

13675685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23686 (or 23672 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 52.

The spelling of 13675685632 in words is "thirteen billion, six hundred seventy-five million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 128 133 136 152 224 238 256 266 272 304 323 448 476 532 544 608 646 896 952 1064 1088 1216 1292 1792 1904 2128 2176 2261 2432 2584 3808 4256 4352 4522 4864 5168 7616 8512 9044 10336 15232 17024 18088 20672 23627 30464 34048 36176 41344 47254 72352 82688 94508 144704 165389 189016 289408 330778 378032 401659 448913 578816 661556 756064 803318 897826 1323112 1512128 1606636 1795652 2646224 2811613 3024256 3142391 3213272 3591304 5292448 5623226 6048512 6284782 6426544 7182608 7631521 10584896 11246452 12569564 12853088 14365216 15263042 21169792 22492904 25139128 25706176 28730432 30526084 42339584 44985808 50278256 51412352 53420647 57460864 61052168 89971616 100556512 102824704 106841294 114921728 122104336 179943232 201113024 213682588 244208672 359886464 402226048 427365176 488417344 719772928 804452096 854730352 976834688 1709460704 1953669376 3418921408 6837842816 13675685632