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12394909642752 = 2123272132192137
BaseRepresentation
bin1011010001011110101000…
…1011111011000000000000
31121212221102120020112101100
42310113222023323000000
53111034233332032002
642210050510134400
72416334262414600
oct264275213730000
947787376215340
1012394909642752
113a497193a448a
1214822721b1400
136bbab1553900
1430bcb9abcc00
151676479b511c
hexb45ea2fb000

12394909642752 has 1404 divisors, whose sum is σ = 47494565637480. Its totient is φ = 3095486005248.

The previous prime is 12394909642729. The next prime is 12394909642757. The reversal of 12394909642752 is 25724690949321.

12394909642752 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 490 + 96 + 4 + 2 + 7 + 52 = 666.

It is a super-2 number, since 2×123949096427522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12394909642752.

It is not an unprimeable number, because it can be changed into a prime (12394909642757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5800143828 + ... + 5800145964.

Almost surely, 212394909642752 is an apocalyptic number.

12394909642752 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 12394909642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23747282818740).

12394909642752 is an abundant number, since it is smaller than the sum of its proper divisors (35099655994728).

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

12394909642752 is a wasteful number, since it uses less digits than its factorization.

12394909642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 12394909642752 in words is "twelve trillion, three hundred ninety-four billion, nine hundred nine million, six hundred forty-two thousand, seven hundred fifty-two".