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64380942756 = 223213232532
BaseRepresentation
bin111011111101011001…
…110011100110100100
320011011211002202102100
4323331121303212210
52023323010132011
645324243012100
74436263661364
oct737531634644
9204154082370
1064380942756
1125338400209
121058906a030
1360c0279c00
14318a64a9a4
151a1c174d56
hexefd6739a4

64380942756 has 81 divisors (see below), whose sum is σ = 176276384739. Its totient is φ = 19803431232.

The previous prime is 64380942737. The next prime is 64380942763. The reversal of 64380942756 is 65724908346.

The square root of 64380942756 is 253734.

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 6550312356 + 57830630400 = 80934^2 + 240480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19789626 + ... + 19792878.

Almost surely, 264380942756 is an apocalyptic number.

64380942756 is the 253734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64380942756

64380942756 is an abundant number, since it is smaller than the sum of its proper divisors (111895441983).

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

64380942756 is a wasteful number, since it uses less digits than its factorization.

64380942756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 64380942756 in words is "sixty-four billion, three hundred eighty million, nine hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 3253 6084 6506 9759 13012 19518 29277 39036 42289 58554 84578 117108 126867 169156 253734 380601 507468 549757 761202 1099514 1522404 1649271 2199028 3298542 4947813 6597084 9895626 10582009 19791252 21164018 31746027 42328036 63492054 95238081 126984108 137566117 190476162 275132234 380952324 412698351 550264468 825396702 1238095053 1650793404 1788359521 2476190106 3576719042 4952380212 5365078563 7153438084 10730157126 16095235689 21460314252 32190471378 64380942756