Search a number
-
+
15097560036966 = 2341121657464819
BaseRepresentation
bin1101101110110010110010…
…1100111111011001100110
31222110022102220202202110000
43123230230230333121212
53434324300332140331
652035420123442130
73115522416626211
oct333545454773146
958408386682400
1015097560036966
1148a0926059300
12183a012386346
138569033907c4
143a2a23872778
151b2ac75820e6
hexdbb2cb3f666

15097560036966 has 120 divisors (see below), whose sum is σ = 37207252245240. Its totient is φ = 4572247331520.

The previous prime is 15097560036929. The next prime is 15097560036971. The reversal of 15097560036966 is 66963006579051.

15097560036966 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 7 + 560 + 0 + 3 + 6 + 9 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32248105 + ... + 32712923.

It is an arithmetic number, because the mean of its divisors is an integer number (310060435377).

Almost surely, 215097560036966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15097560036966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603626122620).

15097560036966 is an abundant number, since it is smaller than the sum of its proper divisors (22109692208274).

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

15097560036966 is a wasteful number, since it uses less digits than its factorization.

15097560036966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466512 (or 466492 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 15097560036966 in words is "fifteen trillion, ninety-seven billion, five hundred sixty million, thirty-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 297 363 594 726 891 1089 1657 1782 2178 3267 3314 4971 6534 9801 9942 14913 18227 19602 29826 36454 44739 54681 89478 109362 134217 164043 200497 268434 328086 400994 464819 492129 601491 929638 984258 1202982 1394457 1476387 1804473 2788914 2952774 3608946 4183371 5113009 5413419 8366742 10226018 10826838 12550113 15339027 16240257 25100226 30678054 32480514 37650339 46017081 56243099 75300678 92034162 112486198 138051243 168729297 276102486 337458594 414153729 506187891 770205083 828307458 1012375782 1518563673 1540410166 2310615249 3037127346 4555691019 4621230498 6931845747 8472255913 9111382038 13863691494 16944511826 20795537241 25416767739 41591074482 50833535478 62386611723 76250303217 93194815043 124773223446 152500606434 186389630086 228750909651 279584445129 457501819302 559168890258 686252728953 838753335387 1372505457906 1677506670774 2516260006161 5032520012322 7548780018483 15097560036966