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12990878036136 = 233371113109551219
BaseRepresentation
bin1011110100001010110010…
…1010111011000010101000
31200222220201121220202022000
42331002230222323002220
53200320304234124021
643343532121131000
72510363032236510
oct275025452730250
950886647822260
1012990878036136
114159444a86290
121559876929a60
1373305ab74370
1432ca94742840
15177dc8917b26
hexbd0acabb0a8

12990878036136 has 512 divisors, whose sum is σ = 48895418880000. Its totient is φ = 3086115240960.

The previous prime is 12990878036111. The next prime is 12990878036137. The reversal of 12990878036136 is 63163087809921.

12990878036136 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 0 + 8 + 7 + 8 + 0 + 3 + 613 + 6 = 666.

It is a super-2 number, since 2×129908780361362 (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 not an unprimeable number, because it can be changed into a prime (12990878036137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23291935 + ... + 23843153.

It is an arithmetic number, because the mean of its divisors is an integer number (95498865000).

Almost surely, 212990878036136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990878036136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447709440000).

12990878036136 is an abundant number, since it is smaller than the sum of its proper divisors (35904540843864).

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

12990878036136 is a wasteful number, since it uses less digits than its factorization.

12990878036136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551374 (or 551364 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 12990878036136 in words is "twelve trillion, nine hundred ninety billion, eight hundred seventy-eight million, thirty-six thousand, one hundred thirty-six".