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70719181920 = 253852329101
BaseRepresentation
bin100000111011100110…
…0010001010001100000
320202112112121200000000
41001313030101101200
52124313102310140
652253221300000
75052326061642
oct1016714212140
9222475550000
1070719181920
1127aa01530a2
1211857864600
13689044199a
1435cc344892
151c8d821a30
hex1077311460

70719181920 has 864 divisors, whose sum is σ = 273189309120. Its totient is φ = 17244057600.

The previous prime is 70719181913. The next prime is 70719181931. The reversal of 70719181920 is 2918191707.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 700189870 + ... + 700189970.

It is an arithmetic number, because the mean of its divisors is an integer number (316191330).

Almost surely, 270719181920 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 70719181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136594654560).

70719181920 is an abundant number, since it is smaller than the sum of its proper divisors (202470127200).

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

70719181920 is a wasteful number, since it uses less digits than its factorization.

70719181920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 45.

The spelling of 70719181920 in words is "seventy billion, seven hundred nineteen million, one hundred eighty-one thousand, nine hundred twenty".