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138619704252 = 223199716633769
BaseRepresentation
bin1000000100011001100…
…0001101001110111100
3111020210122102120221110
42001012120031032330
54232343121014002
6143403033202020
713005061021311
oct2010630151674
9436718376843
10138619704252
1153874233557
1222a47560310
13100c1922153
1469d01a8d08
15391496ee6c
hex204660d3bc

138619704252 has 96 divisors (see below), whose sum is σ = 344277606400. Its totient is φ = 43285819392.

The previous prime is 138619704227. The next prime is 138619704281. The reversal of 138619704252 is 252407916831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36777024 + ... + 36780792.

It is a 1-persistent number, because it is pandigital, but 2⋅138619704252 = 277239408504 is not.

Almost surely, 2138619704252 is an apocalyptic number.

138619704252 is a gapful number since it is divisible by the number (12) 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 138619704252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172138803200).

138619704252 is an abundant number, since it is smaller than the sum of its proper divisors (205657902148).

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

138619704252 is a wasteful number, since it uses less digits than its factorization.

138619704252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 138619704252 in words is "one hundred thirty-eight billion, six hundred nineteen million, seven hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1663 1843 3326 3686 3769 4989 5529 6652 7372 7538 9978 11058 11307 15076 19956 22116 22614 31597 45228 63194 71611 94791 126388 143222 161311 189582 214833 286444 322622 365593 379164 429666 483933 645244 731186 859332 967866 1096779 1462372 1935732 2193558 3064909 4387116 6129818 6267847 6946267 9194727 12259636 12535694 13892534 18389454 18803541 20838801 25071388 27785068 36778908 37607082 41677602 75214164 83355204 119089093 238178186 357267279 476356372 607981159 714534558 1215962318 1429069116 1823943477 2431924636 3647886954 7295773908 11551642021 23103284042 34654926063 46206568084 69309852126 138619704252