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108056583072 = 2532375196469
BaseRepresentation
bin110010010100010101…
…1001001101110100000
3101022220122112011112100
41210220223021232200
53232244441124242
6121350203330400
710543512541614
oct1445053115640
9338818464470
10108056583072
1141910140219
1218b37b20a00
13a2609a4469
145331057344
152c266b054c
hex1928ac9ba0

108056583072 has 36 divisors (see below), whose sum is σ = 307285908930. Its totient is φ = 36018860928.

The previous prime is 108056583053. The next prime is 108056583073. The reversal of 108056583072 is 270385650801.

108056583072 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 565 + 83 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60321324816 + 47735258256 = 245604^2 + 218484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (108056583073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187597947 + ... + 187598522.

Almost surely, 2108056583072 is an apocalyptic number.

108056583072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108056583072 is an abundant number, since it is smaller than the sum of its proper divisors (199229325858).

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

108056583072 is a wasteful number, since it uses less digits than its factorization.

108056583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375196485 (or 375196474 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 108056583072 in words is "one hundred eight billion, fifty-six million, five hundred eighty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 375196469 750392938 1125589407 1500785876 2251178814 3001571752 3376768221 4502357628 6003143504 6753536442 9004715256 12006287008 13507072884 18009430512 27014145768 36018861024 54028291536 108056583072