Search a number
-
+
137859922944 = 21033171312239
BaseRepresentation
bin1000000001100100010…
…1110111110000000000
3111011211200202200221000
42000121011313300000
54224314120013234
6143155412332000
712650204003412
oct2003105676000
9434750680830
10137859922944
1153514372617
1222875014000
13100003b1503
14695b30c9b2
1538bcdde899
hex2019177c00

137859922944 has 352 divisors, whose sum is σ = 435785011200. Its totient is φ = 42900848640.

The previous prime is 137859922901. The next prime is 137859922969. The reversal of 137859922944 is 449229958731.

137859922944 is a `hidden beast` number, since 1 + 37 + 8 + 599 + 2 + 2 + 9 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61570977 + ... + 61573215.

It is an arithmetic number, because the mean of its divisors is an integer number (1238025600).

Almost surely, 2137859922944 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 137859922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217892505600).

137859922944 is an abundant number, since it is smaller than the sum of its proper divisors (297925088256).

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

137859922944 is a wasteful number, since it uses less digits than its factorization.

137859922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2392 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 137859922944 in words is "one hundred thirty-seven billion, eight hundred fifty-nine million, nine hundred twenty-two thousand, nine hundred forty-four".