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10675019520 = 2832511611381
BaseRepresentation
bin10011111000100011…
…11101111100000000
31000112221221011211100
421330101331330000
5133330301111040
64523134414400
7525352111614
oct117421757400
930487834740
1010675019520
114588852190
12209b061400
1310117c14c9
14733a77344
15427298b30
hex27c47df00

10675019520 has 432 divisors, whose sum is σ = 40982314464. Its totient is φ = 2543616000.

The previous prime is 10675019513. The next prime is 10675019521. The reversal of 10675019520 is 2591057601.

10675019520 is a `hidden beast` number, since 1 + 0 + 67 + 501 + 95 + 2 + 0 = 666.

10675019520 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 2×106750195202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10675019521) 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, 7729230 + ... + 7730610.

Almost surely, 210675019520 is an apocalyptic number.

10675019520 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 10675019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491157232).

10675019520 is an abundant number, since it is smaller than the sum of its proper divisors (30307294944).

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

10675019520 is a wasteful number, since it uses less digits than its factorization.

10675019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 10675019520 in words is "ten billion, six hundred seventy-five million, nineteen thousand, five hundred twenty".