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99497249280 = 293251113223101
BaseRepresentation
bin101110010101001111…
…1111000101000000000
3100111211010121221220200
41130222133320220000
53112232243434110
6113413003205200
710121430443652
oct1345237705000
9314733557820
1099497249280
1139218670040
1217349516800
1394c8603600
144b5c3906d2
1528c502b6c0
hex172a7f8a00

99497249280 has 1440 divisors, whose sum is σ = 428957223552. Its totient is φ = 21086208000.

The previous prime is 99497249279. The next prime is 99497249321. The reversal of 99497249280 is 8294279499.

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

It is a super-2 number, since 2×994972492802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 985121230 + ... + 985121330.

Almost surely, 299497249280 is an apocalyptic number.

99497249280 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 99497249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214478611776).

99497249280 is an abundant number, since it is smaller than the sum of its proper divisors (329459974272).

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

99497249280 is a wasteful number, since it uses less digits than its factorization.

99497249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 99497249280 in words is "ninety-nine billion, four hundred ninety-seven million, two hundred forty-nine thousand, two hundred eighty".