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12322993536 = 273372531373
BaseRepresentation
bin10110111101000000…
…11111010110000000
31011210210212221012000
423132200133112000
5200214141243121
65354444304000
7614242500600
oct133640372600
934723787160
1012322993536
115254010487
12247ab42000
131215053469
1484c898c00
154c1cc2526
hex2de81f580

12322993536 has 384 divisors, whose sum is σ = 43137554400. Its totient is φ = 3451908096.

The previous prime is 12322993517. The next prime is 12322993561. The reversal of 12322993536 is 63539922321.

It is a happy number.

12322993536 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 29 + 93 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 12322993491 and 12322993500.

It is a congruent number.

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, 8974546 + ... + 8975918.

Almost surely, 212322993536 is an apocalyptic number.

12322993536 is a gapful number since it is divisible by the number (16) 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 12322993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21568777200).

12322993536 is an abundant number, since it is smaller than the sum of its proper divisors (30814560864).

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

12322993536 is a wasteful number, since it uses less digits than its factorization.

12322993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1438 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The spelling of 12322993536 in words is "twelve billion, three hundred twenty-two million, nine hundred ninety-three thousand, five hundred thirty-six".