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12282358540 = 2256110067507
BaseRepresentation
bin10110111000001010…
…11110101100001100
31011200222102110110011
423130011132230030
5200123240433130
65350433323004
7613240216324
oct133405365414
934628373404
1012282358540
115233086841
122469406464
1312097c689a
1484731c284
154bd44752a
hex2dc15eb0c

12282358540 has 24 divisors (see below), whose sum is σ = 26215790832. Its totient is φ = 4832402880.

The previous prime is 12282358481. The next prime is 12282358549. The reversal of 12282358540 is 4585328221.

12282358540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122823585402 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12282358493 and 12282358502.

It is not an unprimeable number, because it can be changed into a prime (12282358549) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5032534 + ... + 5034973.

It is an arithmetic number, because the mean of its divisors is an integer number (1092324618).

Almost surely, 212282358540 is an apocalyptic number.

12282358540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12282358540 is an abundant number, since it is smaller than the sum of its proper divisors (13933432292).

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

12282358540 is a wasteful number, since it uses less digits than its factorization.

12282358540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10067577 (or 10067575 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 12282358540 in words is "twelve billion, two hundred eighty-two million, three hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 10067507 20135014 40270028 50337535 100675070 201350140 614117927 1228235854 2456471708 3070589635 6141179270 12282358540