Search a number
-
+
117172660680 = 233252347138679
BaseRepresentation
bin110110100100000001…
…0001110100111001000
3102012102222000220002100
41231020002032213020
53404432200120210
6125454532433400
711315435116425
oct1551002164710
9365388026070
10117172660680
1145768a04259
121a860a78860
13b08450721a
145957a46d4c
1530abb6a5c0
hex1b4808e9c8

117172660680 has 96 divisors (see below), whose sum is σ = 380976148800. Its totient is φ = 31232504448.

The previous prime is 117172660669. The next prime is 117172660681. The reversal of 117172660680 is 86066271711.

117172660680 is a `hidden beast` number, since 1 + 1 + 7 + 17 + 26 + 606 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (117172660681) 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, 775581 + ... + 914259.

It is an arithmetic number, because the mean of its divisors is an integer number (3968501550).

Almost surely, 2117172660680 is an apocalyptic number.

117172660680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117172660680 is an abundant number, since it is smaller than the sum of its proper divisors (263803488120).

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

117172660680 is a wasteful number, since it uses less digits than its factorization.

117172660680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141043 (or 141036 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 117172660680 in words is "one hundred seventeen billion, one hundred seventy-two million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2347 4694 7041 9388 11735 14082 18776 21123 23470 28164 35205 42246 46940 56328 70410 84492 93880 105615 138679 140820 168984 211230 277358 281640 416037 422460 554716 693395 832074 844920 1109432 1248111 1386790 1664148 2080185 2496222 2773580 3328296 4160370 4992444 5547160 6240555 8320740 9984888 12481110 16641480 24962220 49924440 325479613 650959226 976438839 1301918452 1627398065 1952877678 2603836904 2929316517 3254796130 3905755356 4882194195 5858633034 6509592260 7811510712 9764388390 11717266068 13019184520 14646582585 19528776780 23434532136 29293165170 39057553560 58586330340 117172660680