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10046373040 = 245111761101109
BaseRepresentation
bin10010101101100111…
…10111110010110000
3221221011000121222101
421112303313302300
5131033332414130
64340520350144
7503646522214
oct112663676260
927834017871
1010046373040
114295a08840
121b44615354
13c414a5a42
146b4394944
153dbebd1ca
hex256cf7cb0

10046373040 has 320 divisors, whose sum is σ = 27948032640. Its totient is φ = 3317760000.

The previous prime is 10046373017. The next prime is 10046373047. The reversal of 10046373040 is 4037364001.

It is a super-2 number, since 2×100463730402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10046373047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92168506 + ... + 92168614.

It is an arithmetic number, because the mean of its divisors is an integer number (87337602).

Almost surely, 210046373040 is an apocalyptic number.

10046373040 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 10046373040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974016320).

10046373040 is an abundant number, since it is smaller than the sum of its proper divisors (17901659600).

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

10046373040 is a wasteful number, since it uses less digits than its factorization.

10046373040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 10046373040 in words is "ten billion, forty-six million, three hundred seventy-three thousand, forty".