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53300683440 = 24325174354631
BaseRepresentation
bin110001101000111101…
…111110001010110000
312002120121122021002200
4301220331332022300
51333124433332230
640252550343200
73564561222354
oct615075761260
9162517567080
1053300683440
1120671934404
12a3b635ab00
135045831154
142818c47464
1515be530160
hexc68f7e2b0

53300683440 has 120 divisors (see below), whose sum is σ = 189531003168. Its totient is φ = 13377423360.

The previous prime is 53300683427. The next prime is 53300683453. The reversal of 53300683440 is 4438600335.

53300683440 is a `hidden beast` number, since 5 + 3 + 300 + 6 + 8 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53300683427) and next prime (53300683453).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 53300683395 and 53300683404.

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 23 ways as a sum of consecutive naturals, for example, 2165076 + ... + 2189555.

Almost surely, 253300683440 is an apocalyptic number.

It is an amenable number.

53300683440 is an abundant number, since it is smaller than the sum of its proper divisors (136230319728).

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

53300683440 is a wasteful number, since it uses less digits than its factorization.

53300683440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354667 (or 4354658 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 53300683440 in words is "fifty-three billion, three hundred million, six hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 4354631 8709262 13063893 17418524 21773155 26127786 34837048 39191679 43546310 52255572 65319465 69674096 74028727 78383358 87092620 104511144 130638930 148057454 156766716 174185240 195958395 209022288 222086181 261277860 296114908 313533432 348370480 370143635 391916790 444172362 522555720 592229816 627066864 666258543 740287270 783833580 888344724 1045111440 1110430905 1184459632 1332517086 1480574540 1567667160 1776689448 2220861810 2665034172 2961149080 3135334320 3331292715 3553378896 4441723620 5330068344 5922298160 6662585430 8883447240 10660136688 13325170860 17766894480 26650341720 53300683440