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12996860009040 = 2434514391393807
BaseRepresentation
bin1011110100100001000100…
…1110010101101001010000
31201000111011112001110110000
42331020101032111221100
53200420032130242130
643350401451410000
72510664210203655
oct275102116255120
951014145043400
1012996860009040
114160a34714046
12155aa66153900
137337a229a9bb
1432d0a0dbbc2c
15178128b8e260
hexbd211395a50

12996860009040 has 200 divisors, whose sum is σ = 45171421701120. Its totient is φ = 3463418352384.

The previous prime is 12996860008969. The next prime is 12996860009117. The reversal of 12996860009040 is 4090006869921.

12996860009040 is a `hidden beast` number, since 1 + 29 + 9 + 6 + 8 + 600 + 0 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8627817 + ... + 10021623.

Almost surely, 212996860009040 is an apocalyptic number.

12996860009040 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 12996860009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585710850560).

12996860009040 is an abundant number, since it is smaller than the sum of its proper divisors (32174561692080).

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

12996860009040 is a wasteful number, since it uses less digits than its factorization.

12996860009040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395271 (or 1395256 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12996860009040 in words is "twelve trillion, nine hundred ninety-six billion, eight hundred sixty million, nine thousand, forty".