Search a number
-
+
39780136368 = 2433726574951
BaseRepresentation
bin100101000011000101…
…001011010110110000
310210200100100022022000
4211003011023112300
51122432203330433
630135202214000
72605534402650
oct450305132660
9123610308260
1039780136368
1115963939265
127862354300
13399c661c3b
141cd52d8360
15107c557113
hex94314b5b0

39780136368 has 160 divisors (see below), whose sum is σ = 130571166720. Its totient is φ = 11359180800.

The previous prime is 39780136321. The next prime is 39780136397. The reversal of 39780136368 is 86363108793.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8032293 + ... + 8037243.

It is an arithmetic number, because the mean of its divisors is an integer number (816069792).

Almost surely, 239780136368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39780136368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65285583360).

39780136368 is an abundant number, since it is smaller than the sum of its proper divisors (90791030352).

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

39780136368 is a wasteful number, since it uses less digits than its factorization.

39780136368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 39780136368 in words is "thirty-nine billion, seven hundred eighty million, one hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 2657 3024 4951 5314 7971 9902 10628 14853 15942 18599 19804 21256 23913 29706 31884 34657 37198 39608 42512 44559 47826 55797 59412 63768 69314 71739 74396 79216 89118 95652 103971 111594 118824 127536 133677 138628 143478 148792 167391 178236 191304 207942 223188 237648 267354 277256 286956 297584 311913 334782 356472 382608 415884 446376 502173 534708 554512 573912 623826 669564 712944 831768 892752 935739 1004346 1069416 1147824 1247652 1339128 1663536 1871478 2008692 2138832 2495304 2678256 3742956 4017384 4990608 7485912 8034768 13154807 14971824 26309614 39464421 52619228 78928842 92083649 105238456 118393263 157857684 184167298 210476912 236786526 276250947 315715368 355179789 368334596 473573052 552501894 631430736 710359578 736669192 828752841 947146104 1105003788 1420719156 1473338384 1657505682 1894292208 2210007576 2486258523 2841438312 3315011364 4420015152 4972517046 5682876624 6630022728 9945034092 13260045456 19890068184 39780136368