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138931061958 = 232135915166643
BaseRepresentation
bin1000000101100011101…
…1111100010011000110
3111021121100022012102100
42001120323330103012
54234012322440313
6143453554452530
713015561353603
oct2013073742306
9437540265370
10138931061958
1153a13a65177
1222b13894146
1310141298790
146a1d6976aa
153931e74173
hex2058efc4c6

138931061958 has 96 divisors (see below), whose sum is σ = 331855130880. Its totient is φ = 41744548800.

The previous prime is 138931061939. The next prime is 138931061959. The reversal of 138931061958 is 859160139831.

138931061958 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 3 + 10 + 619 + 5 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138931061959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2051385 + ... + 2118027.

It is an arithmetic number, because the mean of its divisors is an integer number (3456824280).

Almost surely, 2138931061958 is an apocalyptic number.

138931061958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138931061958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165927565440).

138931061958 is an abundant number, since it is smaller than the sum of its proper divisors (192924068922).

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

138931061958 is a wasteful number, since it uses less digits than its factorization.

138931061958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66874 (or 66871 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 138931061958 in words is "one hundred thirty-eight billion, nine hundred thirty-one million, sixty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 59 78 117 118 151 177 234 302 354 453 531 767 906 1062 1359 1534 1963 2301 2718 3926 4602 5889 6903 8909 11778 13806 17667 17818 26727 35334 53454 66643 80181 115817 133286 160362 199929 231634 347451 399858 599787 694902 866359 1042353 1199574 1732718 2084706 2599077 3931937 5198154 7797231 7863874 10063093 11795811 15594462 20126186 23591622 30189279 35387433 51115181 60378558 70774866 90567837 102230362 130820209 153345543 181135674 261640418 306691086 392460627 460036629 593722487 784921254 920073258 1177381881 1187444974 1781167461 2354763762 3562334922 5343502383 7718392331 10687004766 15436784662 23155176993 46310353986 69465530979 138931061958