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700047687536064 = 263273127223125113
BaseRepresentation
bin1001111100101100001000110…
…1101111011100110111000000
310101210122220102222201112110100
42133023002031233130313000
51213224040131002123224
610520513245024402400
7300311530203663000
oct23713021557346700
93353586388645410
10700047687536064
1119306961445484a
1266621b22176400
13240802a15a521a
14c4c26bb61a000
1555deca82ecac9
hex27cb08dbdcdc0

700047687536064 has 672 divisors, whose sum is σ = 2369032188723200. Its totient is φ = 197547275907072.

The previous prime is 700047687536003. The next prime is 700047687536107. The reversal of 700047687536064 is 460635786740007.

700047687536064 is a `hidden beast` number, since 7 + 0 + 0 + 0 + 476 + 8 + 75 + 36 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×7000476875360642 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 700047687535992 and 700047687536010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5595260772 + ... + 5595385884.

Almost surely, 2700047687536064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700047687536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184516094361600).

700047687536064 is an abundant number, since it is smaller than the sum of its proper divisors (1668984501187136).

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

700047687536064 is a wasteful number, since it uses less digits than its factorization.

700047687536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125502 (or 125475 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 700047687536064 in words is "seven hundred trillion, forty-seven billion, six hundred eighty-seven million, five hundred thirty-six thousand, sixty-four".