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138115081960 = 23519727249973
BaseRepresentation
bin1000000010100001001…
…1001110011011101000
3111012111110220010021221
42000220103032123220
54230324430110320
6143241005311424
712656422553302
oct2005023163350
9435443803257
10138115081960
11536353aa339
1222926565574
131004120c18b
14698316c972
1538d54e23aa
hex20284ce6e8

138115081960 has 64 divisors (see below), whose sum is σ = 327565929600. Its totient is φ = 52266145536.

The previous prime is 138115081939. The next prime is 138115081963. The reversal of 138115081960 is 69180511831.

It is not an unprimeable number, because it can be changed into a prime (138115081963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427534 + ... + 677506.

It is an arithmetic number, because the mean of its divisors is an integer number (5118217650).

Almost surely, 2138115081960 is an apocalyptic number.

138115081960 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 138115081960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163782964800).

138115081960 is an abundant number, since it is smaller than the sum of its proper divisors (189450847640).

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

138115081960 is a wasteful number, since it uses less digits than its factorization.

138115081960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250730 (or 250726 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The spelling of 138115081960 in words is "one hundred thirty-eight billion, one hundred fifteen million, eighty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 727 760 1454 2908 3635 5816 7270 13813 14540 27626 29080 55252 69065 110504 138130 249973 276260 499946 552520 999892 1249865 1999784 2499730 4749487 4999460 9498974 9998920 18997948 23747435 37995896 47494870 94989740 181730371 189979480 363460742 726921484 908651855 1453842968 1817303710 3452877049 3634607420 6905754098 7269214840 13811508196 17264385245 27623016392 34528770490 69057540980 138115081960