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10051808000 = 28531373331
BaseRepresentation
bin10010101110010001…
…00110101100000000
3221221112020202100012
421113020212230000
5131041230324000
64341233044052
7504043646453
oct112710465400
927845222305
1010051808000
114298a90143
121b463b6628
13c426597b0
146b4dab49a
153dc6e3735
hex257226b00

10051808000 has 288 divisors, whose sum is σ = 27418477632. Its totient is φ = 3649536000.

The previous prime is 10051807981. The next prime is 10051808021. The reversal of 10051808000 is 80815001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30367835 + ... + 30368165.

Almost surely, 210051808000 is an apocalyptic number.

10051808000 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 10051808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13709238816).

10051808000 is an abundant number, since it is smaller than the sum of its proper divisors (17366669632).

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

10051808000 is an equidigital number, since it uses as much as digits as its factorization.

10051808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The spelling of 10051808000 in words is "ten billion, fifty-one million, eight hundred eight thousand".