Search a number
-
+
117416371776 = 26311311793383
BaseRepresentation
bin110110101011010001…
…1111010011001000000
3102020001221121200212020
41231112203322121000
53410432042344101
6125535040201440
711324454456414
oct1552643723100
9366057550766
10117416371776
1145883531a90
121a90a609280
13b0c2b57282
14597c166d44
1530c325b136
hex1b568fa640

117416371776 has 112 divisors (see below), whose sum is σ = 349839003648. Its totient is φ = 34432934400.

The previous prime is 117416371763. The next prime is 117416371801. The reversal of 117416371776 is 677173614711.

It is a super-2 number, since 2×1174163717762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831220 + ... + 962163.

Almost surely, 2117416371776 is an apocalyptic number.

117416371776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117416371776 is an abundant number, since it is smaller than the sum of its proper divisors (232422631872).

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

117416371776 is a wasteful number, since it uses less digits than its factorization.

117416371776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793440 (or 1793430 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 51.

The spelling of 117416371776 in words is "one hundred seventeen billion, four hundred sixteen million, three hundred seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 4092 5456 5952 8184 10912 16368 21824 32736 65472 1793383 3586766 5380149 7173532 10760298 14347064 19727213 21520596 28694128 39454426 43041192 55594873 57388256 59181639 78908852 86082384 111189746 114776512 118363278 157817704 166784619 172164768 222379492 236726556 315635408 333569238 344329536 444758984 473453112 611543603 631270816 667138476 889517968 946906224 1223087206 1262541632 1334276952 1779035936 1834630809 1893812448 2446174412 2668553904 3558071872 3669261618 3787624896 4892348824 5337107808 7338523236 9784697648 10674215616 14677046472 19569395296 29354092944 39138790592 58708185888 117416371776