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70031122560 = 27365741523
BaseRepresentation
bin100000100111000101…
…1100010000010000000
320200202120220122000000
41001032023202002000
52121410431410220
652101042000000
75026302501660
oct1011613420200
9220676818000
1070031122560
11277778199a3
12116a5346000
1367b0a23579
143564bd81a0
151c4d20c390
hex104e2e2080

70031122560 has 896 divisors, whose sum is σ = 294430066560. Its totient is φ = 15586836480.

The previous prime is 70031122547. The next prime is 70031122633. The reversal of 70031122560 is 6522113007.

It is a happy number.

70031122560 is a `hidden beast` number, since 70 + 0 + 3 + 11 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 133902459 + ... + 133902981.

It is an arithmetic number, because the mean of its divisors is an integer number (328604985).

Almost surely, 270031122560 is an apocalyptic number.

70031122560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70031122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147215033280).

70031122560 is an abundant number, since it is smaller than the sum of its proper divisors (224398944000).

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

70031122560 is an equidigital number, since it uses as much as digits as its factorization.

70031122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 70031122560 its reverse (6522113007), we get a palindrome (76553235567).

The spelling of 70031122560 in words is "seventy billion, thirty-one million, one hundred twenty-two thousand, five hundred sixty".