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5813643240 = 2333545711779
BaseRepresentation
bin1010110101000010…
…10010011111101000
3120000011101200021000
411122201102133220
543401243040430
62400514315000
7264032103126
oct53241223750
916004350230
105813643240
112513717239
121162b88a60
137185aa6b2
143d217c916
152405c5e60
hex15a8527e8

5813643240 has 128 divisors (see below), whose sum is σ = 19422864000. Its totient is φ = 1546781184.

The previous prime is 5813643233. The next prime is 5813643263. The reversal of 5813643240 is 423463185.

5813643240 is a `hidden beast` number, since 5 + 8 + 1 + 3 + 643 + 2 + 4 + 0 = 666.

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 = 5813643195 and 5813643204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487671 + ... + 499449.

It is an arithmetic number, because the mean of its divisors is an integer number (151741125).

Almost surely, 25813643240 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 5813643240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9711432000).

5813643240 is an abundant number, since it is smaller than the sum of its proper divisors (13609220760).

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

5813643240 is a wasteful number, since it uses less digits than its factorization.

5813643240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12256 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5813643240 is about 76247.2507045336. The cubic root of 5813643240 is about 1798.1094595044.

The spelling of 5813643240 in words is "five billion, eight hundred thirteen million, six hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 457 540 914 1080 1371 1828 2285 2742 3656 4113 4570 5484 6855 8226 9140 10968 11779 12339 13710 16452 18280 20565 23558 24678 27420 32904 35337 41130 47116 49356 54840 58895 61695 70674 82260 94232 98712 106011 117790 123390 141348 164520 176685 212022 235580 246780 282696 318033 353370 424044 471160 493560 530055 636066 706740 848088 1060110 1272132 1413480 1590165 2120220 2544264 3180330 4240440 5383003 6360660 10766006 12721320 16149009 21532012 26915015 32298018 43064024 48447027 53830030 64596036 80745045 96894054 107660060 129192072 145341081 161490090 193788108 215320120 242235135 290682162 322980180 387576216 484470270 581364324 645960360 726705405 968940540 1162728648 1453410810 1937881080 2906821620 5813643240