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16316611164 = 223575345247
BaseRepresentation
bin11110011001000101…
…11011101001011100
31120010010120201200000
433030202323221130
5231404023024124
611255025334300
71115224622640
oct171442735134
946103521600
1016316611164
116a13335517
1231b4497390
13170054bb09
14b0b02ac20
156576d66c9
hex3cc8bba5c

16316611164 has 144 divisors (see below), whose sum is σ = 49806102528. Its totient is φ = 4573827648.

The previous prime is 16316611153. The next prime is 16316611183. The reversal of 16316611164 is 46111661361.

16316611164 is a `hidden beast` number, since 1 + 6 + 31 + 6 + 611 + 1 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 337989 + ... + 383235.

It is an arithmetic number, because the mean of its divisors is an integer number (345875712).

Almost surely, 216316611164 is an apocalyptic number.

16316611164 is a gapful number since it is divisible by the number (14) 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 16316611164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903051264).

16316611164 is an abundant number, since it is smaller than the sum of its proper divisors (33489491364).

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

16316611164 is a wasteful number, since it uses less digits than its factorization.

16316611164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45326 (or 45312 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 16316611164 in words is "sixteen billion, three hundred sixteen million, six hundred eleven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 243 252 318 324 371 378 477 486 567 636 742 756 954 972 1113 1134 1431 1484 1701 1908 2226 2268 2862 3339 3402 4293 4452 5724 6678 6804 8586 10017 12879 13356 17172 20034 25758 30051 40068 45247 51516 60102 90153 90494 120204 135741 180306 180988 271482 316729 360612 407223 542964 633458 814446 950187 1221669 1266916 1628892 1900374 2398091 2443338 2850561 3665007 3800748 4796182 4886676 5701122 7194273 7330014 8551683 9592364 10995021 11402244 14388546 14660028 16786637 17103366 21582819 21990042 25655049 28777092 33573274 34206732 43165638 43980084 50359911 51310098 64748457 67146548 76965147 86331276 100719822 102620196 129496914 151079733 153930294 194245371 201439644 258993828 302159466 307860588 388490742 453239199 582736113 604318932 776981484 906478398 1165472226 1359717597 1812956796 2330944452 2719435194 4079152791 5438870388 8158305582 16316611164