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99488776320 = 27325174124781
BaseRepresentation
bin101110010100111111…
…1100100000010000000
3100111210112200111012100
41130221333210002000
53112223111320240
6113412101430400
710121265434313
oct1345177440200
9314715614170
1099488776320
113921390319a
121734670b400
1394c6927b1b
144b5b1c697a
1528c4405e30
hex1729fe4080

99488776320 has 384 divisors, whose sum is σ = 372642968880. Its totient is φ = 24359731200.

The previous prime is 99488776313. The next prime is 99488776327. The reversal of 99488776320 is 2367788499.

99488776320 is a `hidden beast` number, since 9 + 9 + 488 + 77 + 63 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (99488776313) and next prime (99488776327).

It can be written as a sum of positive squares in 8 ways, for example, as 23881375296 + 75607401024 = 154536^2 + 274968^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×994887763202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99488776327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4002330 + ... + 4027110.

Almost surely, 299488776320 is an apocalyptic number.

99488776320 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 99488776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186321484440).

99488776320 is an abundant number, since it is smaller than the sum of its proper divisors (273154192560).

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

99488776320 is a wasteful number, since it uses less digits than its factorization.

99488776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24864 (or 24849 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 99488776320 in words is "ninety-nine billion, four hundred eighty-eight million, seven hundred seventy-six thousand, three hundred twenty".