Search a number
-
+
107814606288 = 243171031128153
BaseRepresentation
bin110010001101001000…
…0000101010111010000
3101022021210012110210020
41210122100011113100
53231301014400123
6121310201103440
710534514014134
oct1443220052720
9338253173706
10107814606288
11417a6597504
1218a8aa87b80
13a22281092c
14530ac693c4
152c103137e3
hex191a4055d0

107814606288 has 80 divisors (see below), whose sum is σ = 295192999296. Its totient is φ = 33791119360.

The previous prime is 107814606217. The next prime is 107814606293. The reversal of 107814606288 is 882606418701.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 107814606288.

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, 777220 + ... + 905372.

Almost surely, 2107814606288 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 107814606288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147596499648).

107814606288 is an abundant number, since it is smaller than the sum of its proper divisors (187378393008).

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

107814606288 is a wasteful number, since it uses less digits than its factorization.

107814606288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129212 (or 129206 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 107814606288 in words is "one hundred seven billion, eight hundred fourteen million, six hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1031 2062 3093 4124 6186 8248 12372 16496 17527 24744 35054 49488 52581 70108 105162 128153 140216 210324 256306 280432 384459 420648 512612 768918 841296 1025224 1537836 2050448 2178601 3075672 4357202 6151344 6535803 8714404 13071606 17428808 26143212 34857616 52286424 104572848 132125743 264251486 396377229 528502972 792754458 1057005944 1585508916 2114011888 2246137631 3171017832 4492275262 6342035664 6738412893 8984550524 13476825786 17969101048 26953651572 35938202096 53907303144 107814606288