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10484939520 = 283251197853
BaseRepresentation
bin10011100001111001…
…10111101100000000
31000001201021010002100
421300330313230000
5132433121031040
64452224350400
7520553341536
oct116074675400
930051233070
1010484939520
1144a0525280
122047475400
13cb12cb533
14716718156
1541574db30
hex270f37b00

10484939520 has 432 divisors, whose sum is σ = 40029548832. Its totient is φ = 2512650240.

The previous prime is 10484939503. The next prime is 10484939579. The reversal of 10484939520 is 2593948401.

10484939520 is a `hidden beast` number, since 10 + 4 + 84 + 9 + 39 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12291414 + ... + 12292266.

Almost surely, 210484939520 is an apocalyptic number.

10484939520 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 10484939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20014774416).

10484939520 is an abundant number, since it is smaller than the sum of its proper divisors (29544609312).

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

10484939520 is a wasteful number, since it uses less digits than its factorization.

10484939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10484939520 in words is "ten billion, four hundred eighty-four million, nine hundred thirty-nine thousand, five hundred twenty".