Search a number
-
+
138654399696 = 243193715432663
BaseRepresentation
bin1000000100100001110…
…0100011110011010000
3111020220001201022010220
42001020130203303100
54232431011242241
6143410312553040
713005661644231
oct2011034436320
9436801638126
10138654399696
115389188077a
1222a570b2780
13100c8b7c3b7
1469d4a3b088
153917a25166
hex2048723cd0

138654399696 has 160 divisors (see below), whose sum is σ = 387629475840. Its totient is φ = 42558607872.

The previous prime is 138654399679. The next prime is 138654399761. The reversal of 138654399696 is 696993456831.

It is a self number, because there is not a number n which added to its sum of digits gives 138654399696.

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, 52065661 + ... + 52068323.

It is an arithmetic number, because the mean of its divisors is an integer number (2422684224).

Almost surely, 2138654399696 is an apocalyptic number.

138654399696 is a gapful number since it is divisible by the number (16) 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 138654399696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193814737920).

138654399696 is an abundant number, since it is smaller than the sum of its proper divisors (248975076144).

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

138654399696 is a wasteful number, since it uses less digits than its factorization.

138654399696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 69.

The spelling of 138654399696 in words is "one hundred thirty-eight billion, six hundred fifty-four million, three hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 703 888 912 1406 1543 1776 2109 2663 2812 3086 4218 4629 5326 5624 6172 7989 8436 9258 10652 11248 12344 15978 16872 18516 21304 24688 29317 31956 33744 37032 42608 50597 57091 58634 63912 74064 87951 98531 101194 114182 117268 127824 151791 171273 175902 197062 202388 228364 234536 295593 303582 342546 351804 394124 404776 456728 469072 591186 607164 685092 703608 788248 809552 913456 1084729 1182372 1214328 1370184 1407216 1576496 1872089 2169458 2364744 2428656 2740368 3254187 3744178 4109009 4338916 4729488 5616267 6508374 7488356 8218018 8677832 11232534 12327027 13016748 14976712 16436036 17355664 22465068 24654054 26033496 29953424 32872072 44930136 49308108 52066992 65744144 78071171 89860272 98616216 152033333 156142342 197232432 234213513 304066666 312284684 456099999 468427026 608133332 624569368 912199998 936854052 1216266664 1249138736 1824399996 1873708104 2432533328 2888633327 3648799992 3747416208 5777266654 7297599984 8665899981 11554533308 17331799962 23109066616 34663599924 46218133232 69327199848 138654399696