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10626113040 = 24353179101179
BaseRepresentation
bin10011110010101110…
…11001111000010000
31000102112220110202020
421321113121320100
5133230241104130
64514230251440
7524216320254
oct117127317020
930375813666
1010626113040
114563189004
1220867b6b80
131004629a6a
1472b386264
15422d37e10
hex2795d9e10

10626113040 has 320 divisors, whose sum is σ = 34969190400. Its totient is φ = 2665728000.

The previous prime is 10626113027. The next prime is 10626113107. The reversal of 10626113040 is 4031162601.

10626113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106261130402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10626113040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59363671 + ... + 59363849.

It is an arithmetic number, because the mean of its divisors is an integer number (109278720).

Almost surely, 210626113040 is an apocalyptic number.

10626113040 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 10626113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484595200).

10626113040 is an abundant number, since it is smaller than the sum of its proper divisors (24343077360).

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

10626113040 is a wasteful number, since it uses less digits than its factorization.

10626113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10626113040 its reverse (4031162601), we get a palindrome (14657275641).

The spelling of 10626113040 in words is "ten billion, six hundred twenty-six million, one hundred thirteen thousand, forty".