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70485831936000 = 211365313171709
BaseRepresentation
bin10000000001101101000010…
…111110010110100000000000
3100020120101020211010021000000
4100001231002332112200000
533214314440433423000
6405524424424000000
720563301423660355
oct2001550276264000
9306511224107000
1070485831936000
1120505967625418
127aa4762600000
133043a29790850
14135976514462c
15823771899000
hex401b42f96800

70485831936000 has 2688 divisors, whose sum is σ = 300881383639200. Its totient is φ = 16320194150400.

The previous prime is 70485831935993. The next prime is 70485831936049. The reversal of 70485831936000 is 63913858407.

70485831936000 is a `hidden beast` number, since 7 + 0 + 48 + 583 + 19 + 3 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 12190041547776 + 58295790388224 = 3491424^2 + 7635168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41243903146 + ... + 41243904854.

Almost surely, 270485831936000 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 70485831936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150440691819600).

70485831936000 is an abundant number, since it is smaller than the sum of its proper divisors (230395551703200).

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

70485831936000 is a wasteful number, since it uses less digits than its factorization.

70485831936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 70485831936000 in words is "seventy trillion, four hundred eighty-five billion, eight hundred thirty-one million, nine hundred thirty-six thousand".