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69689664144 = 243473332
BaseRepresentation
bin100000011100111010…
…0111110001010010000
320122212210101202010000
41000321310332022100
52120211023223034
652003123210000
75014655241252
oct1007164761220
9218783352100
1069689664144
1127611aa9161
121160ab16900
13675806b179
143531711cd2
151c2d25e599
hex1039d3e290

69689664144 has 75 divisors (see below), whose sum is σ = 201729616473. Its totient is φ = 23226720192.

The previous prime is 69689664137. The next prime is 69689664181. The reversal of 69689664144 is 44146698696.

The square root of 69689664144 is 263988.

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., 474368400 + 69215295744 = 21780^2 + 263088^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9499902 + ... + 9507234.

Almost surely, 269689664144 is an apocalyptic number.

69689664144 is the 263988-th square number.

It is an amenable number.

69689664144 is an abundant number, since it is smaller than the sum of its proper divisors (132039952329).

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

69689664144 is an frugal number, since it uses more digits than its factorization.

69689664144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686 (or 7338 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 69689664144 in words is "sixty-nine billion, six hundred eighty-nine million, six hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7333 14666 21999 29332 43998 58664 65997 87996 117328 131994 175992 197991 263988 351984 395982 527976 593973 791964 1055952 1187946 1583928 2375892 3167856 4751784 9503568 53772889 107545778 161318667 215091556 322637334 430183112 483956001 645274668 860366224 967912002 1290549336 1451868003 1935824004 2581098672 2903736006 3871648008 4355604009 5807472012 7743296016 8711208018 11614944024 17422416036 23229888048 34844832072 69689664144