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117806437872 = 243210310972869
BaseRepresentation
bin110110110110111001…
…1111001010111110000
3102021002010121002221200
41231231303321113300
53412231422002442
6130041452451200
711340232125354
oct1555563712760
9367063532850
10117806437872
1145a63732462
121a9b9179b00
13b1558cb106
1459b7ca3464
1530e760b34c
hex1b6dcf95f0

117806437872 has 120 divisors (see below), whose sum is σ = 335954018400. Its totient is φ = 38530266624.

The previous prime is 117806437841. The next prime is 117806437891. The reversal of 117806437872 is 278734608711.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1580254 + ... + 1653122.

It is an arithmetic number, because the mean of its divisors is an integer number (2799616820).

Almost surely, 2117806437872 is an apocalyptic number.

117806437872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117806437872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167977009200).

117806437872 is an abundant number, since it is smaller than the sum of its proper divisors (218147580528).

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

117806437872 is a wasteful number, since it uses less digits than its factorization.

117806437872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73095 (or 73086 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 117806437872 in words is "one hundred seventeen billion, eight hundred six million, four hundred thirty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 103 109 144 206 218 309 327 412 436 618 654 824 872 927 981 1236 1308 1648 1744 1854 1962 2472 2616 3708 3924 4944 5232 7416 7848 11227 14832 15696 22454 33681 44908 67362 72869 89816 101043 134724 145738 179632 202086 218607 269448 291476 404172 437214 538896 582952 655821 808344 874428 1165904 1311642 1616688 1748856 2623284 3497712 5246568 7505507 7942721 10493136 15011014 15885442 22516521 23828163 30022028 31770884 45033042 47656326 60044056 63541768 67549563 71484489 90066084 95312652 120088112 127083536 135099126 142968978 180132168 190625304 270198252 285937956 360264336 381250608 540396504 571875912 818100263 1080793008 1143751824 1636200526 2454300789 3272401052 4908601578 6544802104 7362902367 9817203156 13089604208 14725804734 19634406312 29451609468 39268812624 58903218936 117806437872