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716208770816 = 28711193161687
BaseRepresentation
bin10100110110000010101…
…11101000111100000000
32112110122211011021020222
422123001113220330000
543213243421131231
61305004411322212
7102513215051060
oct12330127507400
92473584137228
10716208770816
112568191a8060
12b6980a50368
13526cc55b6a6
1426943c9d3a0
151396c08b27b
hexa6c15e8f00

716208770816 has 288 divisors, whose sum is σ = 1936746577920. Its totient is φ = 255824179200.

The previous prime is 716208770737. The next prime is 716208770821. The reversal of 716208770816 is 618077802617.

It is a super-2 number, since 2×7162087708162 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11579525 + ... + 11641211.

Almost surely, 2716208770816 is an apocalyptic number.

716208770816 is a gapful number since it is divisible by the number (76) 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 716208770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968373288960).

716208770816 is an abundant number, since it is smaller than the sum of its proper divisors (1220537807104).

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

716208770816 is a wasteful number, since it uses less digits than its factorization.

716208770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61771 (or 61757 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 716208770816 in words is "seven hundred sixteen billion, two hundred eight million, seven hundred seventy thousand, eight hundred sixteen".