Search a number
-
+
117900556776 = 23334113313071
BaseRepresentation
bin110110111001101101…
…0111011100111101000
3102021022200200211211000
41231303122323213220
53412430020304101
6130055054035000
711342454124452
oct1556332734750
9367280624730
10117900556776
1146001877382
121aa247a8a60
13b16c262a82
1459c65a32d2
1531009ed486
hex1b736bb9e8

117900556776 has 64 divisors (see below), whose sum is σ = 335489414400. Its totient is φ = 38341641600.

The previous prime is 117900556727. The next prime is 117900556799. The reversal of 117900556776 is 677655009711.

117900556776 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 0 + 0 + 5 + 567 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6647680 + ... + 6665391.

It is an arithmetic number, because the mean of its divisors is an integer number (5242022100).

Almost surely, 2117900556776 is an apocalyptic number.

It is an amenable number.

117900556776 is an abundant number, since it is smaller than the sum of its proper divisors (217588857624).

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

117900556776 is a wasteful number, since it uses less digits than its factorization.

117900556776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13313127 (or 13313117 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 54.

The spelling of 117900556776 in words is "one hundred seventeen billion, nine hundred million, five hundred fifty-six thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 13313071 26626142 39939213 53252284 79878426 106504568 119817639 159756852 239635278 319513704 359452917 479270556 545835911 718905834 958541112 1091671822 1437811668 1637507733 2183343644 2875623336 3275015466 4366687288 4912523199 6550030932 9825046398 13100061864 14737569597 19650092796 29475139194 39300185592 58950278388 117900556776