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10491422400 = 2633522310559
BaseRepresentation
bin10011100010101011…
…00110011011000000
31000002011110110221000
421301111212123000
5132441301004100
64453015332000
7520662422214
oct116125463300
930064413830
1010491422400
1144a4152a28
122049681000
13cb275b264
14717524944
154160ce900
hex2715666c0

10491422400 has 336 divisors, whose sum is σ = 39911731200. Its totient is φ = 2675819520.

The previous prime is 10491422371. The next prime is 10491422407. The reversal of 10491422400 is 422419401.

It is a happy number.

It is a super-2 number, since 2×104914224002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10491422407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988321 + ... + 998879.

Almost surely, 210491422400 is an apocalyptic number.

10491422400 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 10491422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19955865600).

10491422400 is an abundant number, since it is smaller than the sum of its proper divisors (29420308800).

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

10491422400 is a wasteful number, since it uses less digits than its factorization.

10491422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10491422400 in words is "ten billion, four hundred ninety-one million, four hundred twenty-two thousand, four hundred".