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39676656100 = 2252199192
BaseRepresentation
bin100100111100111010…
…011011100111100100
310210102010121222001111
4210330322123213210
51122224210443400
630121024234404
72603140004134
oct447472334744
9123363558044
1039676656100
111591048aa84
12783376ba04
1339840a0303
141cc567cac4
1510734163ba
hex93ce9b9e4

39676656100 has 27 divisors (see below), whose sum is σ = 86102666377. Its totient is φ = 15869865680.

The previous prime is 39676655989. The next prime is 39676656127. The reversal of 39676656100 is 165667693.

The square root of 39676656100 is 199190.

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., 14283596196 + 25393059904 = 119514^2 + 159352^2 .

It is a Duffinian number.

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, 1981941 + ... + 2001859.

Almost surely, 239676656100 is an apocalyptic number.

39676656100 is the 199190-th square number.

It is an amenable number.

39676656100 is an abundant number, since it is smaller than the sum of its proper divisors (46426010277).

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

39676656100 is an frugal number, since it uses more digits than its factorization.

39676656100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39852 (or 19926 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 39676656100 by its sum of digits (49), we get a square (1944156148900 = 13943302).

The spelling of 39676656100 in words is "thirty-nine billion, six hundred seventy-six million, six hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 19919 39838 79676 99595 199190 398380 497975 995950 1991900 396766561 793533122 1587066244 1983832805 3967665610 7935331220 9919164025 19838328050 39676656100