Search a number
-
+
138551736720 = 24351764352813
BaseRepresentation
bin1000000100001001010…
…0111011100110010000
3111020121220112111000110
42001002110323212100
54232223221033340
6143352204321320
713003304221245
oct2010224734620
9436556474013
10138551736720
1153839930541
1222a28843240
13100b0815787
1469c51555cc
15390d9e6680
hex204253b990

138551736720 has 160 divisors (see below), whose sum is σ = 455491596672. Its totient is φ = 34719031296.

The previous prime is 138551736649. The next prime is 138551736731. The reversal of 138551736720 is 27637155831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138551736720.

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, 2597034 + ... + 2649846.

Almost surely, 2138551736720 is an apocalyptic number.

138551736720 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 138551736720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227745798336).

138551736720 is an abundant number, since it is smaller than the sum of its proper divisors (316939859952).

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

138551736720 is a wasteful number, since it uses less digits than its factorization.

138551736720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53489 (or 53483 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 138551736720 in words is "one hundred thirty-eight billion, five hundred fifty-one million, seven hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 643 680 816 1020 1286 1360 1929 2040 2572 3215 3858 4080 5144 6430 7716 9645 10288 10931 12860 15432 19290 21862 25720 30864 32793 38580 43724 51440 52813 54655 65586 77160 87448 105626 109310 131172 154320 158439 163965 174896 211252 218620 262344 264065 316878 327930 422504 437240 524688 528130 633756 655860 792195 845008 874480 897821 1056260 1267512 1311720 1584390 1795642 2112520 2535024 2623440 2693463 3168780 3591284 4225040 4489105 5386926 6337560 7182568 8978210 10773852 12675120 13467315 14365136 17956420 21547704 26934630 33958759 35912840 43095408 53869260 67917518 71825680 101876277 107738520 135835036 169793795 203752554 215477040 271670072 339587590 407505108 509381385 543340144 577298903 679175180 815010216 1018762770 1154597806 1358350360 1630020432 1731896709 2037525540 2309195612 2716700720 2886494515 3463793418 4075051080 4618391224 5772989030 6927586836 8150102160 8659483545 9236782448 11545978060 13855173672 17318967090 23091956120 27710347344 34637934180 46183912240 69275868360 138551736720