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10368051840 = 27355163409
BaseRepresentation
bin10011010011111101…
…11110101010000000
3222202120022121100000
421221332332222000
5132213210124330
64432451200000
7514633662246
oct115176765200
928676277300
1010368051840
114440549893
1220142a6000
13c93024123
14704dac796
1540a360560
hex269fbea80

10368051840 has 384 divisors, whose sum is σ = 37447300800. Its totient is φ = 2741133312.

The previous prime is 10368051797. The next prime is 10368051923. The reversal of 10368051840 is 4815086301.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10368051795 and 10368051804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25349556 + ... + 25349964.

Almost surely, 210368051840 is an apocalyptic number.

10368051840 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 10368051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723650400).

10368051840 is an abundant number, since it is smaller than the sum of its proper divisors (27079248960).

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

10368051840 is an equidigital number, since it uses as much as digits as its factorization.

10368051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10368051840 in words is "ten billion, three hundred sixty-eight million, fifty-one thousand, eight hundred forty".