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10479439152 = 24387131097
BaseRepresentation
bin10011100001001111…
…11000110100110000
31000001022220200000000
421300213320310300
5132430214023102
64451510430000
7520455522510
oct116047706460
930038820000
1010479439152
114498408816
122045662300
13cb0123a90
14715ac5840
1541501401c
hex2709f8d30

10479439152 has 360 divisors, whose sum is σ = 37516411296. Its totient is φ = 2761288704.

The previous prime is 10479439133. The next prime is 10479439171. The reversal of 10479439152 is 25193497401.

10479439152 is a `hidden beast` number, since 1 + 0 + 479 + 43 + 91 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (10479439133) and next prime (10479439171).

It is a junction number, because it is equal to n+sod(n) for n = 10479439098 and 10479439107.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9552268 + ... + 9553364.

Almost surely, 210479439152 is an apocalyptic number.

10479439152 is a gapful number since it is divisible by the number (12) 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 10479439152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758205648).

10479439152 is an abundant number, since it is smaller than the sum of its proper divisors (27036972144).

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

10479439152 is an equidigital number, since it uses as much as digits as its factorization.

10479439152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10479439152 in words is "ten billion, four hundred seventy-nine million, four hundred thirty-nine thousand, one hundred fifty-two".