Search a number
-
+
2139339392736 = 2537131918171209
BaseRepresentation
bin11111001000011010100…
…100001000011011100000
321120112000020111101220120
4133020122210020123200
5240022331341031421
64314444323440240
7310363552541460
oct37103244103340
97515006441816
102139339392736
1175531a350a07
122a6750526080
1312697b2ca2a0
147578a479ba0
153a9b0c0d8c6
hex1f21a9086e0

2139339392736 has 384 divisors, whose sum is σ = 7315784985600. Its totient is φ = 531564871680.

The previous prime is 2139339392651. The next prime is 2139339392791. The reversal of 2139339392736 is 6372939339312.

It is a self number, because there is not a number n which added to its sum of digits gives 2139339392736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30007500 + ... + 30078708.

It is an arithmetic number, because the mean of its divisors is an integer number (19051523400).

Almost surely, 22139339392736 is an apocalyptic number.

2139339392736 is a gapful number since it is divisible by the number (26) 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 2139339392736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3657892492800).

2139339392736 is an abundant number, since it is smaller than the sum of its proper divisors (5176445592864).

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

2139339392736 is a wasteful number, since it uses less digits than its factorization.

2139339392736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71442 (or 71434 counting only the distinct ones).

The product of its digits is 29760696, while the sum is 60.

The spelling of 2139339392736 in words is "two trillion, one hundred thirty-nine billion, three hundred thirty-nine million, three hundred ninety-two thousand, seven hundred thirty-six".