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10520169840 = 24310517131
BaseRepresentation
bin10011100110000110…
…10000110101110000
31000011011120000000000
421303003100311300
5133021130413330
64455523430000
7521461653045
oct116303206560
930134500000
1010520169840
1145093a8344
122057225300
13cb86b508b
1471b2891cc
154188ac560
hex2730d0d70

10520169840 has 440 divisors, whose sum is σ = 39143597328. Its totient is φ = 2620200960.

The previous prime is 10520169839. The next prime is 10520169851. The reversal of 10520169840 is 4896102501.

10520169840 is a `hidden beast` number, since 1 + 0 + 520 + 1 + 6 + 98 + 40 = 666.

It is a super-2 number, since 2×105201698402 (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 junction number, because it is equal to n+sod(n) for n = 10520169795 and 10520169804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 80306575 + ... + 80306705.

Almost surely, 210520169840 is an apocalyptic number.

10520169840 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 10520169840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571798664).

10520169840 is an abundant number, since it is smaller than the sum of its proper divisors (28623427488).

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

10520169840 is an equidigital number, since it uses as much as digits as its factorization.

10520169840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10520169840 in words is "ten billion, five hundred twenty million, one hundred sixty-nine thousand, eight hundred forty".