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99602249387328 = 26323137613796521
BaseRepresentation
bin10110101001011001110100…
…101100011000110101000000
3111001122212211000100212121200
4112221121310230120311000
5101023340401320343303
6551500350334421200
726660011406543622
oct2651316454306500
9431585730325550
1099602249387328
1129811093176876
12b2076bb961800
1343765b483b82c
141a84abb6a4c12
15b7ad3a5eb3a3
hex5a9674b18d40

99602249387328 has 672 divisors, whose sum is σ = 308486901765120. Its totient is φ = 30663069696000.

The previous prime is 99602249387299. The next prime is 99602249387413. The reversal of 99602249387328 is 82378394220699.

99602249387328 is a `hidden beast` number, since 9 + 9 + 6 + 0 + 22 + 493 + 87 + 32 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15274072708 + ... + 15274079228.

Almost surely, 299602249387328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99602249387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154243450882560).

99602249387328 is an abundant number, since it is smaller than the sum of its proper divisors (208884652377792).

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

99602249387328 is a wasteful number, since it uses less digits than its factorization.

99602249387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 99602249387328 in words is "ninety-nine trillion, six hundred two billion, two hundred forty-nine million, three hundred eighty-seven thousand, three hundred twenty-eight".