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10485493920 = 253251117231693
BaseRepresentation
bin10011100001111101…
…11111000010100000
31000001202022021120200
421300332333002200
5132433241301140
64452244305200
7520561141056
oct116076770240
930052267520
1010485493920
1144a0873860
1220476a2200
13cb1463995
147168201d6
1541580d030
hex270fbf0a0

10485493920 has 576 divisors, whose sum is σ = 43153254144. Its totient is φ = 2287042560.

The previous prime is 10485493913. The next prime is 10485493939. The reversal of 10485493920 is 2939458401.

10485493920 is a `hidden beast` number, since 10 + 4 + 8 + 549 + 3 + 92 + 0 = 666.

10485493920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 95 ways as a sum of consecutive naturals, for example, 6192594 + ... + 6194286.

It is an arithmetic number, because the mean of its divisors is an integer number (74918844).

Almost surely, 210485493920 is an apocalyptic number.

10485493920 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 10485493920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21576627072).

10485493920 is an abundant number, since it is smaller than the sum of its proper divisors (32667760224).

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

10485493920 is a wasteful number, since it uses less digits than its factorization.

10485493920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1754 counting only the distinct ones).

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

It can be divided in two parts, 10485 and 493920, that added together give a palindrome (504405).

The spelling of 10485493920 in words is "ten billion, four hundred eighty-five million, four hundred ninety-three thousand, nine hundred twenty".