Search a number
-
+
13091791612656 = 24319127113031769
BaseRepresentation
bin1011111010000010101110…
…0101101010101011110000
31201100120012110121120221010
42332200223211222223300
53203443442123101111
643502141441230520
72520564541420431
oct276405345525360
951316173546833
1013091791612656
11419821a0769a9
12157533a632440
1373c720a21c13
14333908c55488
1517a832e61aa6
hexbe82b96aaf0

13091791612656 has 80 divisors (see below), whose sum is σ = 35880805068800. Its totient is φ = 4101696797184.

The previous prime is 13091791612597. The next prime is 13091791612681. The reversal of 13091791612656 is 65621619719031.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 13091791612596 and 13091791612605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56400061 + ... + 56631708.

It is an arithmetic number, because the mean of its divisors is an integer number (448510063360).

Almost surely, 213091791612656 is an apocalyptic number.

13091791612656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13091791612656 is an abundant number, since it is smaller than the sum of its proper divisors (22789013456144).

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

13091791612656 is a wasteful number, since it uses less digits than its factorization.

13091791612656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113031926 (or 113031920 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 57.

The spelling of 13091791612656 in words is "thirteen trillion, ninety-one billion, seven hundred ninety-one million, six hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 508 762 912 1016 1524 2032 2413 3048 4826 6096 7239 9652 14478 19304 28956 38608 57912 115824 113031769 226063538 339095307 452127076 678190614 904254152 1356381228 1808508304 2147603611 2712762456 4295207222 5425524912 6442810833 8590414444 12885621666 14355034663 17180828888 25771243332 28710069326 34361657776 43065103989 51542486664 57420138652 86130207978 103084973328 114840277304 172260415956 229680554608 272745658597 344520831912 545491317194 689041663824 818236975791 1090982634388 1636473951582 2181965268776 3272947903164 4363930537552 6545895806328 13091791612656