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99204597144576 = 2103471123229363
BaseRepresentation
bin10110100011100111011110…
…110001011101110000000000
3111000020212101221111221010000
4112203213132301131300000
5101000332003332111301
6550553543543040000
726616203253341130
oct2643473661356000
9430225357457100
1099204597144576
1129678484914220
12b162622a40000
134347c51726c81
141a6d757242ac0
15b70814da9786
hex5a39dec5dc00

99204597144576 has 1320 divisors, whose sum is σ = 386113327737984. Its totient is φ = 24646265487360.

The previous prime is 99204597144551. The next prime is 99204597144577. The reversal of 99204597144576 is 67544179540299.

99204597144576 is a `hidden beast` number, since 9 + 9 + 2 + 0 + 4 + 5 + 9 + 7 + 1 + 44 + 576 = 666.

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 (99204597144577) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 3378543271 + ... + 3378572633.

Almost surely, 299204597144576 is an apocalyptic number.

99204597144576 is a gapful number since it is divisible by the number (96) 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 99204597144576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193056663868992).

99204597144576 is an abundant number, since it is smaller than the sum of its proper divisors (286908730593408).

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

99204597144576 is a wasteful number, since it uses less digits than its factorization.

99204597144576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29459 (or 29409 counting only the distinct ones).

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

The spelling of 99204597144576 in words is "ninety-nine trillion, two hundred four billion, five hundred ninety-seven million, one hundred forty-four thousand, five hundred seventy-six".