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70153711056 = 243211213309713
BaseRepresentation
bin100000101010101111…
…1001010110111010000
320201002010120202210200
41001111133022313100
52122133322223211
652121141255200
75032321463562
oct1012537126720
9221063522720
1070153711056
112782aa39500
121171a404500
136800245740
1435771c9332
151c58d74b56
hex10557cadd0

70153711056 has 180 divisors, whose sum is σ = 232405049604. Its totient is φ = 19623352320.

The previous prime is 70153711051. The next prime is 70153711081. The reversal of 70153711056 is 65011735107.

70153711056 is a `hidden beast` number, since 7 + 0 + 1 + 537 + 110 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36633960000 + 33519751056 = 191400^2 + 183084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 70153711056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70153711051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71656 + ... + 381368.

Almost surely, 270153711056 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 70153711056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116202524802).

70153711056 is an abundant number, since it is smaller than the sum of its proper divisors (162251338548).

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

70153711056 is a wasteful number, since it uses less digits than its factorization.

70153711056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309762 (or 309742 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 70153711056 in words is "seventy billion, one hundred fifty-three million, seven hundred eleven thousand, fifty-six".