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12994283520 = 211335431093
BaseRepresentation
bin11000001101000010…
…10000100000000000
31020112121000222221000
430012201100200000
5203103014033040
65545224332000
7640003405341
oct140641204000
936477028830
1012994283520
115568a30599
122627914000
1312c114ca7a
148b3abc0c8
15510bc3130
hex306850800

12994283520 has 384 divisors, whose sum is σ = 47308060800. Its totient is φ = 3381460992.

The previous prime is 12994283507. The next prime is 12994283531. The reversal of 12994283520 is 2538249921.

12994283520 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 42 + 83 + 520 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11888094 + ... + 11889186.

It is an arithmetic number, because the mean of its divisors is an integer number (123198075).

Almost surely, 212994283520 is an apocalyptic number.

12994283520 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 12994283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23654030400).

12994283520 is an abundant number, since it is smaller than the sum of its proper divisors (34313777280).

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

12994283520 is a wasteful number, since it uses less digits than its factorization.

12994283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12994283520 in words is "twelve billion, nine hundred ninety-four million, two hundred eighty-three thousand, five hundred twenty".