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5811539040 = 253255376147
BaseRepresentation
bin1010110100110010…
…10000110001100000
3120000000102202211200
411122121100301200
543400223222130
62400401241200
7264005160336
oct53231206140
916000382750
105811539040
11251250a32a
121162333200
137180219c8
143d1b91b56
1524030c760
hex15a650c60

5811539040 has 144 divisors (see below), whose sum is σ = 20206328688. Its totient is φ = 1520483328.

The previous prime is 5811539023. The next prime is 5811539077. The reversal of 5811539040 is 409351185.

5811539040 is a `hidden beast` number, since 5 + 81 + 1 + 539 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 5811538986 and 5811539004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38247 + ... + 114393.

It is an arithmetic number, because the mean of its divisors is an integer number (140321727).

Almost surely, 25811539040 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 5811539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10103164344).

5811539040 is an abundant number, since it is smaller than the sum of its proper divisors (14394789648).

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

5811539040 is a wasteful number, since it uses less digits than its factorization.

5811539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76221 (or 76210 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5811539040 is about 76233.4509254304. The cubic root of 5811539040 is about 1797.8924963863.

The spelling of 5811539040 in words is "five billion, eight hundred eleven million, five hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1908 2120 2385 2544 3180 3816 4240 4770 5088 6360 7632 8480 9540 12720 15264 19080 25440 38160 76147 76320 152294 228441 304588 380735 456882 609176 685323 761470 913764 1142205 1218352 1370646 1522940 1827528 2284410 2436704 2741292 3045880 3426615 3655056 4035791 4568820 5482584 6091760 6853230 7310112 8071582 9137640 10965168 12107373 12183520 13706460 16143164 18275280 20178955 21930336 24214746 27412920 32286328 36322119 36550560 40357910 48429492 54825840 60536865 64572656 72644238 80715820 96858984 109651680 121073730 129145312 145288476 161431640 181610595 193717968 242147460 290576952 322863280 363221190 387435936 484294920 581153904 645726560 726442380 968589840 1162307808 1452884760 1937179680 2905769520 5811539040