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99883074199104 = 2632721923121012
BaseRepresentation
bin10110101101011111010111…
…001010000001111001000000
3111002122201200011210102011100
4112231133113022001321000
5101042441013443332404
6552233352325014400
730016212456215400
oct2655372712017100
9432581604712140
1099883074199104
112990a1a0491379
12b252013554400
134396c19b22001
141a9451bca8800
15b832c4667d39
hex5ad7d7281e40

99883074199104 has 1701 divisors, whose sum is σ = 366825782750193. Its totient is φ = 25904841984000.

The previous prime is 99883074199087. The next prime is 99883074199189. The reversal of 99883074199104 is 40199147038899.

The square root of 99883074199104 is 9994152.

It is a perfect power (a square), and thus also a powerful number.

99883074199104 is a `hidden beast` number, since 9 + 98 + 8 + 30 + 7 + 419 + 91 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95966474877504 + 3916599321600 = 9796248^2 + 1979040^2 .

It is a super-2 number, since 2×998830741991042 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 988941328654 + ... + 988941328754.

Almost surely, 299883074199104 is an apocalyptic number.

99883074199104 is the 9994152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99883074199104

99883074199104 is an abundant number, since it is smaller than the sum of its proper divisors (266942708551089).

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

99883074199104 is a wasteful number, since it uses less digits than its factorization.

99883074199104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 99883074199104 in words is "ninety-nine trillion, eight hundred eighty-three billion, seventy-four million, one hundred ninety-nine thousand, one hundred four".