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39612940900 = 225213215312
BaseRepresentation
bin100100111001000111…
…011000001001100100
310210020200201220020021
4210321013120021210
51122111403102100
630110430444524
72601434304421
oct447107301144
9123220656207
1039612940900
1115888521895
127816363744
133973b22300
141cbb014d48
15106ca2ca1a
hex9391d8264

39612940900 has 81 divisors (see below), whose sum is σ = 93141872523. Its totient is φ = 14616763200.

The previous prime is 39612940889. The next prime is 39612940903. The reversal of 39612940900 is 904921693.

The square root of 39612940900 is 199030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10210294116 + 29402646784 = 101046^2 + 171472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39612940903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25873135 + ... + 25874665.

Almost surely, 239612940900 is an apocalyptic number.

39612940900 is the 199030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39612940900

39612940900 is an abundant number, since it is smaller than the sum of its proper divisors (53528931623).

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

39612940900 is a wasteful number, since it uses less digits than its factorization.

39612940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 39612940900 in words is "thirty-nine billion, six hundred twelve million, nine hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1531 1690 3062 3380 4225 6124 7655 8450 15310 16900 19903 30620 38275 39806 76550 79612 99515 153100 199030 258739 398060 497575 517478 995150 1034956 1293695 1990300 2343961 2587390 4687922 5174780 6468475 9375844 11719805 12936950 23439610 25873900 30471493 46879220 58599025 60942986 117198050 121885972 152357465 234396100 304714930 396129409 609429860 761787325 792258818 1523574650 1584517636 1980647045 3047149300 3961294090 7922588180 9903235225 19806470450 39612940900