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968996109376 = 2629242432
BaseRepresentation
bin11100001100111001010…
…10110011110001000000
310102122011000010121001201
432012130222303301000
5111334001001000001
62021052313310544
7130002425013241
oct16063452636100
93378130117051
10968996109376
11343a49050a99
1213796aa05454
13704b6c33729
1434c8495acc8
151a31493d501
hexe19cab3c40

968996109376 has 63 divisors (see below), whose sum is σ = 1991912729781. Its totient is φ = 467680975104.

The previous prime is 968996109371. The next prime is 968996109391. The reversal of 968996109376 is 673901699869.

The square root of 968996109376 is 984376.

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., 508118054976 + 460878054400 = 712824^2 + 678880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 968996109299 and 968996109308.

It is not an unprimeable number, because it can be changed into a prime (968996109371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 228373111 + ... + 228377353.

Almost surely, 2968996109376 is an apocalyptic number.

968996109376 is the 984376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968996109376

968996109376 is an abundant number, since it is smaller than the sum of its proper divisors (1022916620405).

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

968996109376 is an frugal number, since it uses more digits than its factorization.

968996109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 73.

The spelling of 968996109376 in words is "nine hundred sixty-eight billion, nine hundred ninety-six million, one hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 4243 6728 8486 13456 16972 26912 33944 53824 67888 123047 135776 246094 271552 492188 984376 1968752 3568363 3937504 7136726 7875008 14273452 18003049 28546904 36006098 57093808 72012196 114187616 144024392 228375232 288048784 522088421 576097568 1044176842 1152195136 2088353684 4176707368 8353414736 15140564209 16706829472 30281128418 33413658944 60562256836 121124513672 242249027344 484498054688 968996109376