Search a number
-
+
15108268135194 = 232131274911035413
BaseRepresentation
bin1101101111011010101011…
…1101001001001100011010
31222111100002011221111201200
43123312222331021030122
53440013213120311234
652044350443255030
73116351653151403
oct333665275111432
958440064844650
1015108268135194
1148a5420543a63
12184010051a476
1385791b9943c0
143a335ba7a9aa
151b30026b1d99
hexdbdaaf4931a

15108268135194 has 96 divisors (see below), whose sum is σ = 35602602706944. Its totient is φ = 4602696255360.

The previous prime is 15108268135171. The next prime is 15108268135211. The reversal of 15108268135194 is 49153186280151.

15108268135194 is a `hidden beast` number, since 1 + 5 + 108 + 2 + 6 + 8 + 13 + 519 + 4 = 666.

It is a super-2 number, since 2×151082681351942 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15108268135194.

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, 14073832 + ... + 15109244.

It is an arithmetic number, because the mean of its divisors is an integer number (370860444864).

Almost surely, 215108268135194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15108268135194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17801301353472).

15108268135194 is an abundant number, since it is smaller than the sum of its proper divisors (20494334571750).

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

15108268135194 is a wasteful number, since it uses less digits than its factorization.

15108268135194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036052 (or 1036049 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 15108268135194 in words is "fifteen trillion, one hundred eight billion, two hundred sixty-eight million, one hundred thirty-five thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 491 762 982 1143 1473 1651 2286 2946 3302 4419 4953 6383 8838 9906 12766 14859 19149 29718 38298 57447 62357 114894 124714 187071 374142 561213 810641 1035413 1122426 1621282 2070826 2431923 3106239 4863846 6212478 7295769 9318717 13460369 14591538 18637434 26920738 40381107 80762214 121143321 131497451 242286642 262994902 394492353 508387783 788984706 1016775566 1183477059 1525163349 1709466863 2366954118 3050326698 3418933726 4575490047 5128400589 6609041179 9150980094 10256801178 13218082358 15385201767 19827123537 30770403534 39654247074 59481370611 64565248441 118962741222 129130496882 193695745323 387391490646 581087235969 839348229733 1162174471938 1678696459466 2518044689199 5036089378398 7554134067597 15108268135194