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10293367040 = 2851119109353
BaseRepresentation
bin10011001011000100…
…00101000100000000
3222120100210020001022
421211202011010000
5132040100221130
64421222325012
7513036114305
oct114542050400
928510706038
1010293367040
114402379010
121bb3289768
13c80705138
146d90cb0ac
15403a0b7e5
hex265885100

10293367040 has 288 divisors, whose sum is σ = 28653609600. Its totient is φ = 3503554560.

The previous prime is 10293367027. The next prime is 10293367067. The reversal of 10293367040 is 4076339201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29159504 + ... + 29159856.

It is an arithmetic number, because the mean of its divisors is an integer number (99491700).

Almost surely, 210293367040 is an apocalyptic number.

10293367040 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 10293367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14326804800).

10293367040 is an abundant number, since it is smaller than the sum of its proper divisors (18360242560).

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

10293367040 is a wasteful number, since it uses less digits than its factorization.

10293367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The spelling of 10293367040 in words is "ten billion, two hundred ninety-three million, three hundred sixty-seven thousand, forty".