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99481338432 = 263572367593
BaseRepresentation
bin101110010100110001…
…1001100001001000000
3100111210000200121100000
41130221203030021000
53112214210312212
6113411234200000
710121145265440
oct1345143141100
9314700617300
1099481338432
113920a692a83
1217344123000
1394c52224c8
144b5a20c120
1528c39371dc
hex17298cc240

99481338432 has 672 divisors, whose sum is σ = 358510344192. Its totient is φ = 26736500736.

The previous prime is 99481338431. The next prime is 99481338433. The reversal of 99481338432 is 23483318499.

99481338432 is a `hidden beast` number, since 99 + 481 + 3 + 38 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (99481338431) and next prime (99481338433).

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99481338431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167759128 + ... + 167759720.

It is an arithmetic number, because the mean of its divisors is an integer number (533497536).

Almost surely, 299481338432 is an apocalyptic number.

99481338432 is a gapful number since it is divisible by the number (92) 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 99481338432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179255172096).

99481338432 is an abundant number, since it is smaller than the sum of its proper divisors (259029005760).

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

99481338432 is a wasteful number, since it uses less digits than its factorization.

99481338432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 99481338432 in words is "ninety-nine billion, four hundred eighty-one million, three hundred thirty-eight thousand, four hundred thirty-two".