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6116043120 = 2435115343711
BaseRepresentation
bin1011011001000101…
…10110100101110000
3120210020102011220120
411230202312211300
5100011201334440
62450520010240
7304363336335
oct55442664560
916706364816
106116043120
11265938a7a0
121228300980
13766138935
144203b898c
1525be0add0
hex16c8b6970

6116043120 has 160 divisors (see below), whose sum is σ = 21074079744. Its totient is φ = 1454668800.

The previous prime is 6116043113. The next prime is 6116043203. The reversal of 6116043120 is 213406116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 118065 + ... + 161775.

Almost surely, 26116043120 is an apocalyptic number.

6116043120 is a gapful number since it is divisible by the number (60) 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 6116043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10537039872).

6116043120 is an abundant number, since it is smaller than the sum of its proper divisors (14958036624).

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

6116043120 is a wasteful number, since it uses less digits than its factorization.

6116043120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43791 (or 43785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6116043120 is about 78205.1348697769. The cubic root of 6116043120 is about 1828.7605570050.

Adding to 6116043120 its reverse (213406116), we get a palindrome (6329449236).

The spelling of 6116043120 in words is "six billion, one hundred sixteen million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 53 55 60 66 80 88 106 110 120 132 159 165 176 212 220 240 264 265 318 330 424 440 528 530 583 636 660 795 848 880 1060 1166 1272 1320 1590 1749 2120 2332 2544 2640 2915 3180 3498 4240 4664 5830 6360 6996 8745 9328 11660 12720 13992 17490 23320 27984 34980 43711 46640 69960 87422 131133 139920 174844 218555 262266 349688 437110 480821 524532 655665 699376 874220 961642 1049064 1311330 1442463 1748440 1923284 2098128 2316683 2404105 2622660 2884926 3496880 3846568 4633366 4808210 5245320 5769852 6950049 7212315 7693136 9266732 9616420 10490640 11539704 11583415 13900098 14424630 18533464 19232840 23079408 23166830 25483513 27800196 28849260 34750245 37066928 38465680 46333660 50967026 55600392 57698520 69500490 76450539 92667320 101934052 111200784 115397040 127417565 139000980 152901078 185334640 203868104 254835130 278001960 305802156 382252695 407736208 509670260 556003920 611604312 764505390 1019340520 1223208624 1529010780 2038681040 3058021560 6116043120