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70319430720 = 2634571123203
BaseRepresentation
bin100000101111101011…
…1010101110001000000
320201111200102012110000
41001133113111301000
52123003233240340
652145421240000
75036403204360
oct1013727256100
9221450365400
1070319430720
1127905538100
1211765a03000
136828689706
1435912069a0
151c686abd30
hex105f5d5c40

70319430720 has 840 divisors, whose sum is σ = 314321781312. Its totient is φ = 14607267840.

The previous prime is 70319430697. The next prime is 70319430743. The reversal of 70319430720 is 2703491307.

It is an interprime number because it is at equal distance from previous prime (70319430697) and next prime (70319430743).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21952639 + ... + 21955841.

Almost surely, 270319430720 is an apocalyptic number.

70319430720 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 70319430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157160890656).

70319430720 is an abundant number, since it is smaller than the sum of its proper divisors (244002350592).

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

70319430720 is a wasteful number, since it uses less digits than its factorization.

70319430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 70319430720 in words is "seventy billion, three hundred nineteen million, four hundred thirty thousand, seven hundred twenty".