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107701468944 = 24337454913331
BaseRepresentation
bin110010001001110000…
…0011111111100010000
3101021222220022111112020
41210103200133330100
53231033034001234
6121251040131440
710531641244506
oct1442340377420
9337886274466
10107701468944
1141748742773
1218a59006b80
13a20524a564
1452d9c18676
152c05416549
hex191381ff10

107701468944 has 80 divisors (see below), whose sum is σ = 285832747200. Its totient is φ = 34919907840.

The previous prime is 107701468921. The next prime is 107701468957. The reversal of 107701468944 is 449864107701.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8072359 + ... + 8085689.

It is an arithmetic number, because the mean of its divisors is an integer number (3572909340).

Almost surely, 2107701468944 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 107701468944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142916373600).

107701468944 is an abundant number, since it is smaller than the sum of its proper divisors (178131278256).

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

107701468944 is a wasteful number, since it uses less digits than its factorization.

107701468944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17928 (or 17922 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 107701468944 in words is "one hundred seven billion, seven hundred one million, four hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 4549 9098 13331 13647 18196 26662 27294 36392 39993 53324 54588 72784 79986 106648 109176 159972 168313 213296 218352 319944 336626 493247 504939 639888 673252 986494 1009878 1346504 1479741 1972988 2019756 2693008 2959482 3945976 4039512 5918964 7891952 8079024 11837928 23675856 60642719 121285438 181928157 242570876 363856314 485141752 727712628 970283504 1455425256 2243780603 2910850512 4487561206 6731341809 8975122412 13462683618 17950244824 26925367236 35900489648 53850734472 107701468944