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379693106900 = 22523796931069
BaseRepresentation
bin1011000011001110111…
…10010000011011010100
31100022001110120022112222
411201213132100123110
522210102413410100
6450232325001512
736301102105022
oct5414736203324
91308043508488
10379693106900
11137032951018
1261706553298
1329a604c1273
141453d231712
159d23c5b485
hex58677906d4

379693106900 has 18 divisors (see below), whose sum is σ = 823934042190. Its totient is φ = 151877242720.

The previous prime is 379693106893. The next prime is 379693106911. The reversal of 379693106900 is 9601396973.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 57791198404 + 321901908496 = 240398^2 + 567364^2 .

It is a super-2 number, since 2×3796931069002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1898465435 + ... + 1898465634.

It is an arithmetic number, because the mean of its divisors is an integer number (45774113455).

Almost surely, 2379693106900 is an apocalyptic number.

It is an amenable number.

379693106900 is an abundant number, since it is smaller than the sum of its proper divisors (444240935290).

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

379693106900 is a wasteful number, since it uses less digits than its factorization.

379693106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796931083 (or 3796931076 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 53.

The spelling of 379693106900 in words is "three hundred seventy-nine billion, six hundred ninety-three million, one hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3796931069 7593862138 15187724276 18984655345 37969310690 75938621380 94923276725 189846553450 379693106900