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99987313440 = 25357892391399
BaseRepresentation
bin101110100011110110…
…1010101001100100000
3100120002021202210120010
41131013231111030200
53114233223012230
6113533351044520
710136531066310
oct1350755251440
9316067683503
1099987313440
113944a260543
1217465670740
139575cba0c1
144ba74bb440
1529030809b0
hex1747b55320

99987313440 has 384 divisors, whose sum is σ = 365783040000. Its totient is φ = 22486818816.

The previous prime is 99987313429. The next prime is 99987313453. The reversal of 99987313440 is 4431378999.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71469861 + ... + 71471259.

It is an arithmetic number, because the mean of its divisors is an integer number (952560000).

Almost surely, 299987313440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99987313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520000).

99987313440 is an abundant number, since it is smaller than the sum of its proper divisors (265795726560).

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

99987313440 is a wasteful number, since it uses less digits than its factorization.

99987313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 99987313440 in words is "ninety-nine billion, nine hundred eighty-seven million, three hundred thirteen thousand, four hundred forty".