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99354097689840 = 24345713116720199
BaseRepresentation
bin10110100101110010101101…
…101100110010010011110000
3111000210011021220011111220000
4112211302231230302103300
5101010304143002033330
6551150350430350000
726633045106116130
oct2645625554622360
9430704256144800
1099354097689840
1129725921a98664
12b1875a635b300
134359088682586
141a76a9a540ac0
15b74664bcc560
hex5a5cadb324f0

99354097689840 has 400 divisors, whose sum is σ = 397377891187200. Its totient is φ = 22536151672320.

The previous prime is 99354097689787. The next prime is 99354097689859. The reversal of 99354097689840 is 4898679045399.

99354097689840 is a `hidden beast` number, since 9 + 9 + 3 + 540 + 9 + 7 + 68 + 9 + 8 + 4 + 0 = 666.

99354097689840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 99354097689840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2417940 + ... + 14302259.

It is an arithmetic number, because the mean of its divisors is an integer number (993444727968).

Almost surely, 299354097689840 is an apocalyptic number.

99354097689840 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 99354097689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198688945593600).

99354097689840 is an abundant number, since it is smaller than the sum of its proper divisors (298023793497360).

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

99354097689840 is a wasteful number, since it uses less digits than its factorization.

99354097689840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16720362 (or 16720347 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 99354097689840 in words is "ninety-nine trillion, three hundred fifty-four billion, ninety-seven million, six hundred eighty-nine thousand, eight hundred forty".