Search a number
-
+
117657852120 = 23325952134327
BaseRepresentation
bin110110110010011110…
…1000101100011011000
3102020200210000011121200
41231210331011203120
53411430402231440
6130015024034200
711333446145634
oct1554475054330
9366623004550
10117657852120
1145997876816
121a977462960
13b130ba5b53
1459a2265dc4
1530d955ac30
hex1b64f458d8

117657852120 has 96 divisors (see below), whose sum is σ = 382439322720. Its totient is φ = 31371217920.

The previous prime is 117657852119. The next prime is 117657852131. The reversal of 117657852120 is 21258756711.

117657852120 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 578 + 52 + 1 + 20 = 666.

It is a super-3 number, since 3×1176578521203 (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3410397 + ... + 3444723.

It is an arithmetic number, because the mean of its divisors is an integer number (3983742945).

Almost surely, 2117657852120 is an apocalyptic number.

117657852120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117657852120 is an abundant number, since it is smaller than the sum of its proper divisors (264781470600).

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

117657852120 is a wasteful number, since it uses less digits than its factorization.

117657852120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43865 (or 43858 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 117657852120 in words is "one hundred seventeen billion, six hundred fifty-seven million, eight hundred fifty-two thousand, one hundred twenty".

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 9521 19042 28563 34327 38084 47605 57126 68654 76168 85689 95210 102981 114252 137308 142815 171378 171635 190420 205962 228504 274616 285630 308943 342756 343270 380840 411924 428445 514905 571260 617886 685512 686540 823848 856890 1029810 1142520 1235772 1373080 1544715 1713780 2059620 2471544 3089430 3427560 4119240 6178860 12357720 326827367 653654734 980482101 1307309468 1634136835 1960964202 2614618936 2941446303 3268273670 3921928404 4902410505 5882892606 6536547340 7843856808 9804821010 11765785212 13073094680 14707231515 19609642020 23531570424 29414463030 39219284040 58828926060 117657852120