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12482753640 = 23357371932081
BaseRepresentation
bin10111010000000011…
…11011010001101000
31012012221111120211220
423220001323101220
5201031041104030
65422352422040
7621222440520
oct135001732150
935187446756
1012482753640
115326209625
122504547920
13123c18b976
14865ba4680
154d0d2da10
hex2e807b468

12482753640 has 256 divisors, whose sum is σ = 44203691520. Its totient is φ = 2760376320.

The previous prime is 12482753629. The next prime is 12482753653. The reversal of 12482753640 is 4635728421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12482753592 and 12482753601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5997400 + ... + 5999480.

It is an arithmetic number, because the mean of its divisors is an integer number (172670670).

Almost surely, 212482753640 is an apocalyptic number.

12482753640 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 12482753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22101845760).

12482753640 is an abundant number, since it is smaller than the sum of its proper divisors (31720937880).

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

12482753640 is a wasteful number, since it uses less digits than its factorization.

12482753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 12482753640 in words is "twelve billion, four hundred eighty-two million, seven hundred fifty-three thousand, six hundred forty".