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716335315920 = 243257220304289
BaseRepresentation
bin10100110110010001110…
…10010111101111010000
32112110222122021102111200
422123020322113233100
543214023320102140
61305025131511200
7102516312502200
oct12331072275720
92473878242450
10716335315920
1125688367a294
12b69b72b8500
135271c837753
1426956a00400
1513978236030
hexa6c8e97bd0

716335315920 has 180 divisors, whose sum is σ = 2798459073540. Its totient is φ = 163733778432.

The previous prime is 716335315909. The next prime is 716335315921. The reversal of 716335315920 is 29513533617.

716335315920 is a `hidden beast` number, since 7 + 1 + 6 + 3 + 3 + 53 + 1 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 542326199184 + 174009116736 = 736428^2 + 417144^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716335315921) 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, 10116865 + ... + 10187424.

It is an arithmetic number, because the mean of its divisors is an integer number (15546994853).

Almost surely, 2716335315920 is an apocalyptic number.

716335315920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

716335315920 is an abundant number, since it is smaller than the sum of its proper divisors (2082123757620).

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

716335315920 is a wasteful number, since it uses less digits than its factorization.

716335315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20304322 (or 20304306 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 716335315920 in words is "seven hundred sixteen billion, three hundred thirty-five million, three hundred fifteen thousand, nine hundred twenty".