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10397726640 = 24325711318257
BaseRepresentation
bin10011010111100000…
…01011011110110000
3222211122011020111200
421223300023132300
5132243304223030
64435431211200
7515444134560
oct115360133660
928748136450
1010397726640
114456277a14
122022216b00
13c99214092
14708cd4da0
1540cc72d60
hex26bc0b7b0

10397726640 has 240 divisors, whose sum is σ = 40262833728. Its totient is φ = 2355462144.

The previous prime is 10397726617. The next prime is 10397726641. The reversal of 10397726640 is 4662779301.

10397726640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103977266402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10397726641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 560392 + ... + 578648.

Almost surely, 210397726640 is an apocalyptic number.

10397726640 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 10397726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20131416864).

10397726640 is an abundant number, since it is smaller than the sum of its proper divisors (29865107088).

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

10397726640 is a wasteful number, since it uses less digits than its factorization.

10397726640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18396 (or 18387 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10397726640 in words is "ten billion, three hundred ninety-seven million, seven hundred twenty-six thousand, six hundred forty".