Search a number
-
+
117377734415148 = 2232103145432176667
BaseRepresentation
bin11010101100000100100010…
…001010100001001100101100
3120101121012110010110020002100
4122230010202022201030230
5110341104100002241043
61053350330424455100
733503155452400404
oct3254044212411454
9511535403406070
10117377734415148
1134444688056439
12111b871191a490
135065899377b2c
1420db1811c3804
15d883e6c19cd3
hex6ac1222a132c

117377734415148 has 72 divisors (see below), whose sum is σ = 299606195685888. Its totient is φ = 38743366213728.

The previous prime is 117377734415147. The next prime is 117377734415171. The reversal of 117377734415148 is 841514437773711.

117377734415148 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 7 + 7 + 73 + 4 + 41 + 514 + 8 = 666.

It is a super-2 number, since 2×1173777344151482 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117377734415147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52837111 + ... + 55013777.

It is an arithmetic number, because the mean of its divisors is an integer number (4161197162304).

Almost surely, 2117377734415148 is an apocalyptic number.

117377734415148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

117377734415148 is an abundant number, since it is smaller than the sum of its proper divisors (182228461270740).

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

117377734415148 is a wasteful number, since it uses less digits than its factorization.

117377734415148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191323 (or 2191318 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The spelling of 117377734415148 in words is "one hundred seventeen trillion, three hundred seventy-seven billion, seven hundred thirty-four million, four hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1854 3708 14543 29086 43629 58172 87258 130887 174516 261774 523548 1497929 2176667 2995858 4353334 4493787 5991716 6530001 8706668 8987574 13060002 13481361 17975148 19590003 26120004 26962722 39180006 53925444 78360012 224196701 448393402 672590103 896786804 1345180206 2017770309 2690360412 4035540618 8071081236 31655268181 63310536362 94965804543 126621072724 189931609086 284897413629 379863218172 569794827258 1139589654516 3260492622643 6520985245286 9781477867929 13041970490572 19562955735858 29344433603787 39125911471716 58688867207574 117377734415148