Search a number
-
+
15131635994356 = 2272593594198699
BaseRepresentation
bin1101110000110001101111…
…0010011100111011110100
31222120120101201200202012221
43130030123302130323310
53440404042303304411
652103213321452124
73121140021526600
oct334143362347364
958516351622187
1015131635994356
114904322046462
121844742341044
13859ba40205bb
143a4537364500
151b391de37071
hexdc31bc9cef4

15131635994356 has 144 divisors (see below), whose sum is σ = 31491633600000. Its totient is φ = 6341412310464.

The previous prime is 15131635994317. The next prime is 15131635994411. The reversal of 15131635994356 is 65349953613151.

It is a junction number, because it is equal to n+sod(n) for n = 15131635994294 and 15131635994303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739464095 + ... + 1739472793.

It is an arithmetic number, because the mean of its divisors is an integer number (218691900000).

Almost surely, 215131635994356 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 15131635994356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15745816800000).

15131635994356 is an abundant number, since it is smaller than the sum of its proper divisors (16359997605644).

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

15131635994356 is a wasteful number, since it uses less digits than its factorization.

15131635994356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554 (or 9545 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 61.

The spelling of 15131635994356 in words is "fifteen trillion, one hundred thirty-one billion, six hundred thirty-five million, nine hundred ninety-four thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 359 413 419 718 826 838 1436 1652 1676 2513 2891 2933 5026 5782 5866 8699 10052 11564 11732 17398 17591 20531 21181 24721 34796 35182 41062 42362 49442 60893 70364 82124 84724 98884 121786 148267 150421 173047 243572 296534 300842 346094 426251 513241 593068 601684 692188 852502 1026482 1037869 1052947 1211329 1705004 2052964 2075738 2105894 2422658 3122941 3592687 3644881 4151476 4211788 4845316 6245882 7185374 7289762 7370629 8874839 12491764 14370748 14579524 14741258 17749678 21860587 25148809 25514167 29482516 35499356 43721174 50297618 51028334 62123873 87442348 100595236 102056668 124247746 153024109 178599169 184253519 215047979 248495492 306048218 357198338 368507038 430095958 434867111 612096436 714396676 737014076 860191916 869734222 1289774633 1308512279 1505335853 1739468444 2579549266 2617024558 3010671706 5159098532 5234049116 6021343412 9028422431 9159585953 10537350971 18056844862 18319171906 21074701942 36113689724 36638343812 42149403884 64117101671 77202224461 128234203342 154404448922 256468406684 308808897844 540415571227 1080831142454 2161662284908 3782908998589 7565817997178 15131635994356