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99826752706560 = 211365118397151
BaseRepresentation
bin10110101100101010111010…
…001000100101100000000000
3111002110100022000222011000000
4112230222322020211200000
5101041030142143102220
6552151435504000000
730012146664351255
oct2654527210454000
9432410260864000
1099826752706560
1129898319474420
12b243115600000
134391812501b69
141a918d7b9d42c
15b81ac9d33390
hex5acaba225800

99826752706560 has 2688 divisors, whose sum is σ = 403232486791680. Its totient is φ = 23505666048000.

The previous prime is 99826752706553. The next prime is 99826752706567. The reversal of 99826752706560 is 6560725762899.

It is a happy number.

99826752706560 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 6 + 7 + 52 + 7 + 0 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (99826752706553) and next prime (99826752706567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99826752706567) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 661104322485 + ... + 661104322635.

It is an arithmetic number, because the mean of its divisors is an integer number (150012085860).

Almost surely, 299826752706560 is an apocalyptic number.

99826752706560 is a gapful number since it is divisible by the number (90) 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 99826752706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616243395840).

99826752706560 is an abundant number, since it is smaller than the sum of its proper divisors (303405734085120).

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

99826752706560 is a wasteful number, since it uses less digits than its factorization.

99826752706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 99826752706560 in words is "ninety-nine trillion, eight hundred twenty-six billion, seven hundred fifty-two million, seven hundred six thousand, five hundred sixty".