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70160670720 = 21335571953
BaseRepresentation
bin100000101010111100…
…1101110000000000000
320201002121200100200000
41001111321232000000
52122142112430340
652121550400000
75032434601260
oct1012571560000
9221077610600
1070160670720
1127833962398
1211720800000
13680181149a
1435780bb7a0
151c5979bd30
hex1055e6e000

70160670720 has 1344 divisors, whose sum is σ = 309143278080. Its totient is φ = 14906032128.

The previous prime is 70160670719. The next prime is 70160670757. The reversal of 70160670720 is 2707606107.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1323786214 + ... + 1323786266.

It is an arithmetic number, because the mean of its divisors is an integer number (230017320).

Almost surely, 270160670720 is an apocalyptic number.

70160670720 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 70160670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154571639040).

70160670720 is an abundant number, since it is smaller than the sum of its proper divisors (238982607360).

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

70160670720 is an equidigital number, since it uses as much as digits as its factorization.

70160670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 70160670720 in words is "seventy billion, one hundred sixty million, six hundred seventy thousand, seven hundred twenty".