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54313674336 = 2533263239023
BaseRepresentation
bin110010100101010110…
…001110011001100000
312012012012202112101000
4302211112032121200
51342213300034321
640541254312000
73631641420525
oct624526163140
9165165675330
1054313674336
1121041720469
12a639658600
13517766934c
1428b35b714c
15162d42a826
hexca558e660

54313674336 has 96 divisors (see below), whose sum is σ = 159017886720. Its totient is φ = 18035644032.

The previous prime is 54313674313. The next prime is 54313674343. The reversal of 54313674336 is 63347631345.

54313674336 is a `hidden beast` number, since 543 + 1 + 3 + 6 + 74 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 54313674291 and 54313674300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107721 + ... + 346743.

It is an arithmetic number, because the mean of its divisors is an integer number (1656436320).

Almost surely, 254313674336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54313674336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79508943360).

54313674336 is an abundant number, since it is smaller than the sum of its proper divisors (104704212384).

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

54313674336 is a wasteful number, since it uses less digits than its factorization.

54313674336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239305 (or 239291 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The spelling of 54313674336 in words is "fifty-four billion, three hundred thirteen million, six hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 263 288 432 526 789 864 1052 1578 2104 2367 3156 4208 4734 6312 7101 8416 9468 12624 14202 18936 25248 28404 37872 56808 75744 113616 227232 239023 478046 717069 956092 1434138 1912184 2151207 2868276 3824368 4302414 5736552 6453621 7648736 8604828 11473104 12907242 17209656 22946208 25814484 34419312 51628968 62863049 68838624 103257936 125726098 188589147 206515872 251452196 377178294 502904392 565767441 754356588 1005808784 1131534882 1508713176 1697302323 2011617568 2263069764 3017426352 3394604646 4526139528 6034852704 6789209292 9052279056 13578418584 18104558112 27156837168 54313674336