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69434320896 = 211323767053
BaseRepresentation
bin100000010101010011…
…0111010100000000000
320122012222220222000200
41000222212322200000
52114200141232041
651521522245200
75005434663303
oct1005246724000
9218188828020
1069434320896
11274a0955a86
12115594b6800
1367171a76a5
143509844b3a
151c15b221b6
hex102a9ba800

69434320896 has 72 divisors (see below), whose sum is σ = 200539119690. Its totient is φ = 23144767488.

The previous prime is 69434320843. The next prime is 69434320951. The reversal of 69434320896 is 69802343496.

69434320896 is a `hidden beast` number, since 6 + 9 + 4 + 343 + 208 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69240554496 + 193766400 = 263136^2 + 13920^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×694343208962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1865095 + ... + 1901958.

Almost surely, 269434320896 is an apocalyptic number.

It is an amenable number.

69434320896 is an abundant number, since it is smaller than the sum of its proper divisors (131104798794).

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

69434320896 is a wasteful number, since it uses less digits than its factorization.

69434320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767081 (or 3767058 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 69434320896 in words is "sixty-nine billion, four hundred thirty-four million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 3767053 7534106 11301159 15068212 22602318 30136424 33903477 45204636 60272848 67806954 90409272 120545696 135613908 180818544 241091392 271227816 361637088 482182784 542455632 723274176 964365568 1084911264 1446548352 1928731136 2169822528 2893096704 3857462272 4339645056 5786193408 7714924544 8679290112 11572386816 17358580224 23144773632 34717160448 69434320896