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716297796864 = 283313311371877
BaseRepresentation
bin10100110110001101010…
…11001111110100000000
32112110220000200021001000
422123012223033310000
543213434213444424
61305021311412000
7102515345546166
oct12330653176400
92473800607030
10716297796864
11256864483701
12b69a6824000
1352714b2c220
1426951a35236
1513974cc43c9
hexa6c6acfd00

716297796864 has 576 divisors, whose sum is σ = 2373195847680. Its totient is φ = 211620003840.

The previous prime is 716297796829. The next prime is 716297796871. The reversal of 716297796864 is 468697792617.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 716297796792 and 716297796801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381617494 + ... + 381619370.

It is an arithmetic number, because the mean of its divisors is an integer number (4120131680).

Almost surely, 2716297796864 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 716297796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186597923840).

716297796864 is an abundant number, since it is smaller than the sum of its proper divisors (1656898050816).

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

716297796864 is a wasteful number, since it uses less digits than its factorization.

716297796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2063 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 72.

The spelling of 716297796864 in words is "seven hundred sixteen billion, two hundred ninety-seven million, seven hundred ninety-six thousand, eight hundred sixty-four".