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117966463110 = 232517365911497
BaseRepresentation
bin110110111011101011…
…0010110000010000110
3102021111021201020022100
41231313112112002012
53413043403304420
6130105410412530
711344214251266
oct1556726260206
9367437636270
10117966463110
1146035aa1821
121aa42891146
13b17caca1c2
1459d123b7a6
1531066bb190
hex1b77596086

117966463110 has 96 divisors (see below), whose sum is σ = 308980694880. Its totient is φ = 31225711104.

The previous prime is 117966463099. The next prime is 117966463129. The reversal of 117966463110 is 11364669711.

117966463110 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 6 + 6 + 4 + 631 + 1 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 10254882 + ... + 10266378.

It is an arithmetic number, because the mean of its divisors is an integer number (3218548905).

Almost surely, 2117966463110 is an apocalyptic number.

117966463110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 117966463110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154490347440).

117966463110 is an abundant number, since it is smaller than the sum of its proper divisors (191014231770).

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

117966463110 is a wasteful number, since it uses less digits than its factorization.

117966463110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 117966463110 in words is "one hundred seventeen billion, nine hundred sixty-six million, four hundred sixty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 173 346 519 659 865 1038 1318 1557 1730 1977 2595 3114 3295 3954 5190 5931 6590 7785 9885 11497 11862 15570 19770 22994 29655 34491 57485 59310 68982 103473 114007 114970 172455 206946 228014 342021 344910 517365 570035 684042 1026063 1034730 1140070 1710105 1988981 2052126 3420210 3977962 5130315 5966943 7576523 9944905 10260630 11933886 15153046 17900829 19889810 22729569 29834715 35801658 37882615 45459138 59669430 68188707 75765230 89504145 113647845 136377414 179008290 227295690 340943535 681887070 1310738479 2621476958 3932215437 6553692395 7864430874 11796646311 13107384790 19661077185 23593292622 39322154370 58983231555 117966463110