Search a number
-
+
117952000071776 = 2513359789800729
BaseRepresentation
bin11010110100011011010111…
…000100001001100001100000
3120110122002201200121012000222
4122310123113010021201200
5110430011144004244101
61054510222322502212
733562515343054313
oct3264332704114140
9513562650535028
10117952000071776
1134646187046962
121128ba7a204968
1350a7a975c6810
14211ac9b76697a
15d983076ac01b
hex6b46d7109860

117952000071776 has 48 divisors (see below), whose sum is σ = 250777527789600. Its totient is φ = 54287742839808.

The previous prime is 117952000071767. The next prime is 117952000071797. The reversal of 117952000071776 is 677170000259711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394751021 + ... + 395049708.

It is an arithmetic number, because the mean of its divisors is an integer number (5224531828950).

Almost surely, 2117952000071776 is an apocalyptic number.

117952000071776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

117952000071776 is an abundant number, since it is smaller than the sum of its proper divisors (132825527717824).

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

117952000071776 is a wasteful number, since it uses less digits than its factorization.

117952000071776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789801111 (or 789801103 counting only the distinct ones).

The product of its (nonzero) digits is 1296540, while the sum is 53.

The spelling of 117952000071776 in words is "one hundred seventeen trillion, nine hundred fifty-two billion, seventy-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 359 416 718 1436 2872 4667 5744 9334 11488 18668 37336 74672 149344 789800729 1579601458 3159202916 6318405832 10267409477 12636811664 20534818954 25273623328 41069637908 82139275816 164278551632 283538461711 328557103264 567076923422 1134153846844 2268307693688 3686000002243 4536615387376 7372000004486 9073230774752 14744000008972 29488000017944 58976000035888 117952000071776