Search a number
-
+
13261790668410 = 23251297184761511
BaseRepresentation
bin1100000011111100000001…
…0100100110011001111010
31201221210222222211101210100
43000333000110212121322
53214240121402342120
644112214343100230
72536063351513614
oct300770024463172
951853888741710
1013261790668410
1142533261096a9
1215a2282a41676
1375277370827b
1433bc34723db4
1517ee82672490
hexc0fc052667a

13261790668410 has 96 divisors (see below), whose sum is σ = 34526484824832. Its totient is φ = 3531780195840.

The previous prime is 13261790668369. The next prime is 13261790668447. The reversal of 13261790668410 is 1486609716231.

13261790668410 is a `hidden beast` number, since 1 + 3 + 2 + 617 + 9 + 0 + 6 + 6 + 8 + 4 + 10 = 666.

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, 215569555 + ... + 215631065.

It is an arithmetic number, because the mean of its divisors is an integer number (359650883592).

Almost surely, 213261790668410 is an apocalyptic number.

13261790668410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13261790668410 is an abundant number, since it is smaller than the sum of its proper divisors (21264694156422).

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

13261790668410 is a wasteful number, since it uses less digits than its factorization.

13261790668410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64668 (or 64665 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13261790668410 in words is "thirteen trillion, two hundred sixty-one billion, seven hundred ninety million, six hundred sixty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1297 1847 2594 3694 3891 5541 6485 7782 9235 11082 11673 12970 16623 18470 19455 23346 27705 33246 38910 55410 58365 61511 83115 116730 123022 166230 184533 307555 369066 553599 615110 922665 1107198 1845330 2395559 2767995 4791118 5535990 7186677 11977795 14373354 21560031 23955590 35933385 43120062 71866770 79779767 107800155 113610817 159559534 215600310 227221634 239339301 340832451 398898835 478678602 568054085 681664902 718017903 797797670 1022497353 1136108170 1196696505 1436035806 1704162255 2044994706 2393393010 3408324510 3590089515 5112486765 7180179030 10224973530 147353229649 294706459298 442059688947 736766148245 884119377894 1326179066841 1473532296490 2210298444735 2652358133682 4420596889470 6630895334205 13261790668410