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10381163520 = 2103572131061
BaseRepresentation
bin10011010101100001…
…11111110000000000
3222210110222202011210
421222300333300000
5132230034213040
64434040210120
7515153301600
oct115260776000
928713882153
1010381163520
114447994892
122018769940
13c95965110
14706a22c00
1540b5a0480
hex26ac3fc00

10381163520 has 528 divisors, whose sum is σ = 41634800928. Its totient is φ = 2188247040.

The previous prime is 10381163461. The next prime is 10381163521. The reversal of 10381163520 is 2536118301.

It is a super-3 number, since 3×103811635203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381163521) 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, 9783790 + ... + 9784850.

Almost surely, 210381163520 is an apocalyptic number.

10381163520 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 10381163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20817400464).

10381163520 is an abundant number, since it is smaller than the sum of its proper divisors (31253637408).

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

10381163520 is a wasteful number, since it uses less digits than its factorization.

10381163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

It can be divided in two parts, 103811 and 63520, that added together give a triangular number (167331 = T578).

The spelling of 10381163520 in words is "ten billion, three hundred eighty-one million, one hundred sixty-three thousand, five hundred twenty".