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102660004836 = 2232534012
BaseRepresentation
bin101111110011100000…
…0110101101111100100
3100210222112220120220100
41133213000311233210
53140221430123321
6115054504104100
710263003433434
oct1374700655744
9323875816810
10102660004836
113a5a0995104
1217a90765030
1398b09318bc
144d7c4422c4
152a0ca1e326
hex17e7035be4

102660004836 has 27 divisors (see below), whose sum is σ = 259506538473. Its totient is φ = 34219360800.

The previous prime is 102660004823. The next prime is 102660004841. The reversal of 102660004836 is 638400066201.

The square root of 102660004836 is 320406.

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

102660004836 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 600 + 0 + 48 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18467179236 + 84192825600 = 135894^2 + 290160^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102660004836.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1895736 + ... + 1949136.

Almost surely, 2102660004836 is an apocalyptic number.

102660004836 is the 320406-th square number.

It is an amenable number.

102660004836 is an abundant number, since it is smaller than the sum of its proper divisors (156846533637).

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

102660004836 is an frugal number, since it uses more digits than its factorization.

102660004836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106812 (or 53406 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 102660004836 by its sum of digits (36), we get a square (3695760174096 = 19224362).

102660004836 divided by its sum of digits (36) gives a square (2851666801 = 534012).

The spelling of 102660004836 in words is "one hundred two billion, six hundred sixty million, four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53401 106802 160203 213604 320406 480609 640812 961218 1922436 2851666801 5703333602 8555000403 11406667204 17110000806 25665001209 34220001612 51330002418 102660004836