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102374753920 = 2751553103001
BaseRepresentation
bin101111101011000000…
…0101100011010000000
3100210020200011100012121
41133112000230122000
53134130414111140
6115010314134024
710252641023215
oct1372600543200
9323220140177
10102374753920
113a46497494a
1217a11121314
1398667c918a
144d525cbb0c
1529e297564a
hex17d602c680

102374753920 has 64 divisors (see below), whose sum is σ = 244899615240. Its totient is φ = 40923136000.

The previous prime is 102374753909. The next prime is 102374753959. The reversal of 102374753920 is 29357473201.

It can be written as a sum of positive squares in 4 ways, for example, as 32310781504 + 70063972416 = 179752^2 + 264696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 942420 + ... + 1045420.

Almost surely, 2102374753920 is an apocalyptic number.

102374753920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102374753920 is an abundant number, since it is smaller than the sum of its proper divisors (142524861320).

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

102374753920 is a wasteful number, since it uses less digits than its factorization.

102374753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104573 (or 104561 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 102374753920 in words is "one hundred two billion, three hundred seventy-four million, seven hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1553 3106 6212 7765 12424 15530 24848 31060 49696 62120 99392 103001 124240 198784 206002 248480 412004 496960 515005 824008 993920 1030010 1648016 2060020 3296032 4120040 6592064 8240080 13184128 16480160 32960320 65920640 159960553 319921106 639842212 799802765 1279684424 1599605530 2559368848 3199211060 5118737696 6398422120 10237475392 12796844240 20474950784 25593688480 51187376960 102374753920