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318929991696 = 2432107197105071
BaseRepresentation
bin1001010010000011011…
…01010111100000010000
31010111012210001020112200
410221001231113200100
520211132034213241
6402303040323200
732020245125451
oct4510155274020
91114183036480
10318929991696
11113291736238
1251989013500
13240c8926b24
1411617295128
15846951a4b6
hex4a41b57810

318929991696 has 120 divisors (see below), whose sum is σ = 905484438144. Its totient is φ = 104780847360.

The previous prime is 318929991683. The next prime is 318929991701. The reversal of 318929991696 is 696199929813.

It is a happy number.

318929991696 is a `hidden beast` number, since 318 + 9 + 299 + 9 + 16 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2982841 + ... + 3087911.

Almost surely, 2318929991696 is an apocalyptic number.

318929991696 is a gapful number since it is divisible by the number (36) 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 318929991696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452742219072).

318929991696 is an abundant number, since it is smaller than the sum of its proper divisors (586554446448).

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

318929991696 is a wasteful number, since it uses less digits than its factorization.

318929991696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105389 (or 105380 counting only the distinct ones).

The product of its digits is 102036672, while the sum is 72.

The spelling of 318929991696 in words is "three hundred eighteen billion, nine hundred twenty-nine million, nine hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 197 214 321 394 428 591 642 788 856 963 1182 1284 1576 1712 1773 1926 2364 2568 3152 3546 3852 4728 5136 7092 7704 9456 14184 15408 21079 28368 42158 63237 84316 105071 126474 168632 189711 210142 252948 315213 337264 379422 420284 505896 630426 758844 840568 945639 1011792 1260852 1517688 1681136 1891278 2521704 3035376 3782556 5043408 7565112 11242597 15130224 20698987 22485194 33727791 41397974 44970388 62096961 67455582 82795948 89940776 101183373 124193922 134911164 165591896 179881552 186290883 202366746 248387844 269822328 331183792 372581766 404733492 496775688 539644656 745163532 809466984 993551376 1490327064 1618933968 2214791609 2980654128 4429583218 6644374827 8859166436 13288749654 17718332872 19933124481 26577499308 35436665744 39866248962 53154998616 79732497924 106309997232 159464995848 318929991696