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96399499680 = 2535511231661
BaseRepresentation
bin101100111000111011…
…0111010000110100000
3100012211020122222100000
41121301312322012200
53034411232442210
6112141343500000
76651604141011
oct1316166720640
9305736588300
1096399499680
1137979005a00
1216823bb7600
1391238b5993
144946bc1008
1527930c9ac0
hex1671dba1a0

96399499680 has 864 divisors, whose sum is σ = 387661607424. Its totient is φ = 22581504000.

The previous prime is 96399499673. The next prime is 96399499717. The reversal of 96399499680 is 8699499369.

It is a happy number.

96399499680 is a `hidden beast` number, since 96 + 399 + 4 + 99 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96399499599 and 96399499608.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 145838550 + ... + 145839210.

It is an arithmetic number, because the mean of its divisors is an integer number (448682416).

Almost surely, 296399499680 is an apocalyptic number.

96399499680 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 96399499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193830803712).

96399499680 is an abundant number, since it is smaller than the sum of its proper divisors (291262107744).

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

96399499680 is a wasteful number, since it uses less digits than its factorization.

96399499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 96399499680 in words is "ninety-six billion, three hundred ninety-nine million, four hundred ninety-nine thousand, six hundred eighty".