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99000466951680 = 293257732127907
BaseRepresentation
bin10110100000101001010111…
…101010100100111000000000
3110222112100111202112201002100
4112200221113222210320000
5100434010424014423210
6550320104152350400
726565355601334330
oct2640512752447000
9428470452481070
1099000466951680
11295a9953725a68
12b12ab540a5400
13433191c830b98
141a639107db0c0
15b6a3690445c0
hex5a0a57aa4e00

99000466951680 has 1440 divisors, whose sum is σ = 400858418847744. Its totient is φ = 22118545096704.

The previous prime is 99000466951679. The next prime is 99000466951681. The reversal of 99000466951680 is 8615966400099.

99000466951680 is a `hidden beast` number, since 9 + 9 + 0 + 0 + 0 + 466 + 9 + 5 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (99000466951679) and next prime (99000466951681).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000466951681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109151561787 + ... + 109151562693.

Almost surely, 299000466951680 is an apocalyptic number.

99000466951680 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 99000466951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200429209423872).

99000466951680 is an abundant number, since it is smaller than the sum of its proper divisors (301857951896064).

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

99000466951680 is a wasteful number, since it uses less digits than its factorization.

99000466951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 99000466951680 in words is "ninety-nine trillion, four hundred sixty-six million, nine hundred fifty-one thousand, six hundred eighty".