Search a number
-
+
12902332666752 = 2732374311362297
BaseRepresentation
bin1011101111000000111011…
…1101001001001110000000
31200200110011202011221020200
42323300032331021032000
53142342434130314002
643235125542405200
72501106555100524
oct273601675111600
950613152157220
1012902332666752
114124937477761
121544685130800
137278b951a879
14328694ad7d84
15175945122b1c
hexbbc0ef49380

12902332666752 has 384 divisors, whose sum is σ = 39363958164960. Its totient is φ = 4050990268416.

The previous prime is 12902332666747. The next prime is 12902332666813. The reversal of 12902332666752 is 25766623320921.

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

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, 207078868 + ... + 207141164.

Almost surely, 212902332666752 is an apocalyptic number.

12902332666752 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 12902332666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19681979082480).

12902332666752 is an abundant number, since it is smaller than the sum of its proper divisors (26461625498208).

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

12902332666752 is a wasteful number, since it uses less digits than its factorization.

12902332666752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62510 (or 62495 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 12902332666752 in words is "twelve trillion, nine hundred two billion, three hundred thirty-two million, six hundred sixty-six thousand, seven hundred fifty-two".