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10136546640 = 24325113734591
BaseRepresentation
bin10010111000010111…
…10110110101010000
3222011102200220220100
421130023312311100
5131224423443030
64353501212400
7506123140053
oct113413666520
928142626810
1010136546640
1143318a8580
121b6a861100
13c570889bc
146c2348a9a
153e4d81360
hex25c2f6d50

10136546640 has 240 divisors, whose sum is σ = 38141415936. Its totient is φ = 2390860800.

The previous prime is 10136546627. The next prime is 10136546653. The reversal of 10136546640 is 4664563101.

It is a happy number.

10136546640 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 5 + 4 + 6 + 640 = 666.

10136546640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10136546627) and next prime (10136546653).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10136546595 and 10136546604.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 275745 + ... + 310335.

Almost surely, 210136546640 is an apocalyptic number.

10136546640 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 10136546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19070707968).

10136546640 is an abundant number, since it is smaller than the sum of its proper divisors (28004869296).

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

10136546640 is a wasteful number, since it uses less digits than its factorization.

10136546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34658 (or 34649 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10136546640 in words is "ten billion, one hundred thirty-six million, five hundred forty-six thousand, six hundred forty".