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10648109472 = 25371113110807
BaseRepresentation
bin10011110101010110…
…10100000110100000
31000111002022000011220
421322223110012200
5133301404000342
64520333535040
7524604302640
oct117253240640
930432260156
1010648109472
114574642280
122092044480
13100905bac0
14730270520
15424c305ec
hex27aad41a0

10648109472 has 192 divisors, whose sum is σ = 37529339904. Its totient is φ = 2552970240.

The previous prime is 10648109453. The next prime is 10648109501. The reversal of 10648109472 is 27490184601.

It is a super-2 number, since 2×106481094722 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 40693 + ... + 151499.

It is an arithmetic number, because the mean of its divisors is an integer number (195465312).

Almost surely, 210648109472 is an apocalyptic number.

10648109472 is a gapful number since it is divisible by the number (12) 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 10648109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18764669952).

10648109472 is an abundant number, since it is smaller than the sum of its proper divisors (26881230432).

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

10648109472 is a wasteful number, since it uses less digits than its factorization.

10648109472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110851 (or 110843 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 10648109472 in words is "ten billion, six hundred forty-eight million, one hundred nine thousand, four hundred seventy-two".