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138931061960 = 23531199563021
BaseRepresentation
bin1000000101100011101…
…1111100010011001000
3111021121100022012102102
42001120323330103020
54234012322440320
6143453554452532
713015561353605
oct2013073742310
9437540265372
10138931061960
1153a13a65179
1222b13894148
1310141298792
146a1d6976ac
153931e74175
hex2058efc4c8

138931061960 has 64 divisors (see below), whose sum is σ = 324300672000. Its totient is φ = 53509420800.

The previous prime is 138931061959. The next prime is 138931061963. The reversal of 138931061960 is 69160139831.

It is a happy number.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138931061963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34751 + ... + 528270.

It is an arithmetic number, because the mean of its divisors is an integer number (5067198000).

Almost surely, 2138931061960 is an apocalyptic number.

138931061960 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 138931061960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162150336000).

138931061960 is an abundant number, since it is smaller than the sum of its proper divisors (185369610040).

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

138931061960 is a wasteful number, since it uses less digits than its factorization.

138931061960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563262 (or 563258 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 47.

The spelling of 138931061960 in words is "one hundred thirty-eight billion, nine hundred thirty-one million, sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 199 248 310 398 620 796 995 1240 1592 1990 3980 6169 7960 12338 24676 30845 49352 61690 123380 246760 563021 1126042 2252084 2815105 4504168 5630210 11260420 17453651 22520840 34907302 69814604 87268255 112041179 139629208 174536510 224082358 349073020 448164716 560205895 698146040 896329432 1120411790 2240823580 3473276549 4481647160 6946553098 13893106196 17366382745 27786212392 34732765490 69465530980 138931061960