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10098960000 = 27354291451
BaseRepresentation
bin10010110011111000…
…11110011010000000
3222001210222022201120
421121330132122000
5131140313210000
64350035432240
7505155513033
oct113174363200
928053868646
1010098960000
114312666138
121b5a155680
13c4c35879c
146bb36301a
153e19096a0
hex259f1e680

10098960000 has 320 divisors, whose sum is σ = 34700767200. Its totient is φ = 2598400000.

The previous prime is 10098959989. The next prime is 10098960013. The reversal of 10098960000 is 6989001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6959275 + ... + 6960725.

Almost surely, 210098960000 is an apocalyptic number.

10098960000 is a gapful number since it is divisible by the number (10) 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 10098960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17350383600).

10098960000 is an abundant number, since it is smaller than the sum of its proper divisors (24601807200).

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

10098960000 is an equidigital number, since it uses as much as digits as its factorization.

10098960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 10098960000 in words is "ten billion, ninety-eight million, nine hundred sixty thousand".