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10012983750 = 233547113853
BaseRepresentation
bin10010101001101001…
…00000000111000110
3221211211012021111000
421110310200013012
5131001310440000
64333324554130
7503062646310
oct112464400706
927754167430
1010012983750
114279082990
121b353b2946
13c375b5173
146adb827b0
153d90c5000
hex254d201c6

10012983750 has 320 divisors, whose sum is σ = 34674900480. Its totient is φ = 2080080000.

The previous prime is 10012983719. The next prime is 10012983763. The reversal of 10012983750 is 5738921001.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 2596824 + ... + 2600676.

It is an arithmetic number, because the mean of its divisors is an integer number (108359064).

Almost surely, 210012983750 is an apocalyptic number.

10012983750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012983750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337450240).

10012983750 is an abundant number, since it is smaller than the sum of its proper divisors (24661916730).

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

10012983750 is a wasteful number, since it uses less digits than its factorization.

10012983750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10012983750 in words is "ten billion, twelve million, nine hundred eighty-three thousand, seven hundred fifty".