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716830552656 = 243319415979457
BaseRepresentation
bin10100110111001100110…
…11100011001001010000
32112112021011011001121000
422123212123203021100
543221032110141111
61305150222302000
7102534505110111
oct12334633431120
92475234131530
10716830552656
11257008182a49
12b6b15127900
135279b31273a
14269a26b6208
15139a695cc56
hexa6e66e3250

716830552656 has 640 divisors, whose sum is σ = 2289853440000. Its totient is φ = 213886033920.

The previous prime is 716830552639. The next prime is 716830552663. The reversal of 716830552656 is 656255038617.

It is a happy number.

716830552656 is a `hidden beast` number, since 7 + 1 + 6 + 8 + 30 + 552 + 6 + 56 = 666.

It is a super-2 number, since 2×7168305526562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1568556780 + ... + 1568557236.

It is an arithmetic number, because the mean of its divisors is an integer number (3577896000).

Almost surely, 2716830552656 is an apocalyptic number.

716830552656 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 716830552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144926720000).

716830552656 is an abundant number, since it is smaller than the sum of its proper divisors (1573022887344).

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

716830552656 is a wasteful number, since it uses less digits than its factorization.

716830552656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 716830552656 in words is "seven hundred sixteen billion, eight hundred thirty million, five hundred fifty-two thousand, six hundred fifty-six".