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120692318464 = 28217132
BaseRepresentation
bin111000001100111010…
…0101010000100000000
3102112112020220000220001
41300121310222010000
53434134213142324
6131240103125344
711501603531404
oct1603164520400
9375466800801
10120692318464
1147204738243
121b483743854
13b4c5767273
145bad281104
153215b5be44
hex1c19d2a100

120692318464 has 27 divisors (see below), whose sum is σ = 240924278413. Its totient is φ = 60343379968.

The previous prime is 120692318449. The next prime is 120692318519. The reversal of 120692318464 is 464813296021.

The square root of 120692318464 is 347408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31286534400 + 89405784064 = 176880^2 + 299008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5547672 + ... + 5569384.

Almost surely, 2120692318464 is an apocalyptic number.

120692318464 is the 347408-th square number.

It is an amenable number.

120692318464 is a deficient number, since it is larger than the sum of its proper divisors (120231959949).

120692318464 is an frugal number, since it uses more digits than its factorization.

120692318464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43442 (or 21715 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 120692318464 in words is "one hundred twenty billion, six hundred ninety-two million, three hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 21713 43426 86852 173704 347408 694816 1389632 2779264 5558528 471454369 942908738 1885817476 3771634952 7543269904 15086539808 30173079616 60346159232 120692318464