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120938921636 = 221341529710709
BaseRepresentation
bin111000010100010000…
…1010111111010100100
3102120011102220202211212
41300220201113322210
53440140330443021
6131320352450552
711510656605161
oct1605041277244
9376142822755
10120938921636
1147320960915
121b532249a58
13b53488a7c0
145bd3d15068
15322c61e85b
hex1c28857ea4

120938921636 has 48 divisors (see below), whose sum is σ = 233548343280. Its totient is φ = 54441185280.

The previous prime is 120938921591. The next prime is 120938921639. The reversal of 120938921636 is 636129839021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13032100 + 120925889536 = 3610^2 + 347744^2 .

It is not an unprimeable number, because it can be changed into a prime (120938921639) by changing a digit.

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, 11287850 + ... + 11298558.

It is an arithmetic number, because the mean of its divisors is an integer number (4865590485).

Almost surely, 2120938921636 is an apocalyptic number.

It is an amenable number.

120938921636 is a deficient number, since it is larger than the sum of its proper divisors (112609421644).

120938921636 is a wasteful number, since it uses less digits than its factorization.

120938921636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16064 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 120938921636 in words is "one hundred twenty billion, nine hundred thirty-eight million, nine hundred twenty-one thousand, six hundred thirty-six".

Divisors: 1 2 4 13 26 41 52 82 164 533 1066 2132 5297 10594 10709 21188 21418 42836 68861 137722 139217 217177 275444 278434 434354 439069 556868 868708 878138 1756276 2823301 5646602 5707897 11293204 11415794 22831588 56725573 113451146 226902292 737432449 1474864898 2325748493 2949729796 4651496986 9302993972 30234730409 60469460818 120938921636