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10089240000 = 26354712011
BaseRepresentation
bin10010110010101110…
…11001010111000000
3222001010200111101120
421121113121113000
5131130321140000
64345051232240
7505010060610
oct113127312700
928033614346
1010089240000
114308127384
121b56a48680
13c4a3344c8
146b9d52a40
153e0b396a0
hex2595d95c0

10089240000 has 280 divisors, whose sum is σ = 38125895808. Its totient is φ = 2305920000.

The previous prime is 10089239999. The next prime is 10089240011. The reversal of 10089240000 is 4298001.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 833995 + ... + 846005.

Almost surely, 210089240000 is an apocalyptic number.

10089240000 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 10089240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19062947904).

10089240000 is an abundant number, since it is smaller than the sum of its proper divisors (28036655808).

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

10089240000 is an equidigital number, since it uses as much as digits as its factorization.

10089240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12053 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10089240000 in words is "ten billion, eighty-nine million, two hundred forty thousand".