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99468259200 = 27375261233
BaseRepresentation
bin101110010100011000…
…1010010111110000000
3100111202010002010000000
41130220301102332000
53112202333243300
6113410050000000
710120626152532
oct1345061227600
9314663063000
1099468259200
113920326a3a2
121733b876000
1394c25c320b
144b585a5852
1528c2701c00
hex1728c52f80

99468259200 has 768 divisors, whose sum is σ = 376169227200. Its totient is φ = 25978060800.

The previous prime is 99468259103. The next prime is 99468259271. The reversal of 99468259200 is 295286499.

It is a happy number.

99468259200 is a `hidden beast` number, since 9 + 9 + 46 + 8 + 2 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 426902284 + ... + 426902516.

Almost surely, 299468259200 is an apocalyptic number.

99468259200 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 99468259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188084613600).

99468259200 is an abundant number, since it is smaller than the sum of its proper divisors (276700968000).

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

99468259200 is an equidigital number, since it uses as much as digits as its factorization.

99468259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 99468259200 in words is "ninety-nine billion, four hundred sixty-eight million, two hundred fifty-nine thousand, two hundred".