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6116787240 = 2335535916301
BaseRepresentation
bin1011011001001011…
…01100010000101000
3120210021210222122120
411230211230100220
5100011344142430
62450543551240
7304402555644
oct55445542050
916707728576
106116787240
112659848873
1212285bb520
13766339545
1442052dc24
1525c006610
hex16c96c428

6116787240 has 128 divisors (see below), whose sum is σ = 19014652800. Its totient is φ = 1573145600.

The previous prime is 6116787217. The next prime is 6116787247. The reversal of 6116787240 is 427876116.

It is a super-2 number, since 2×61167872402 = 74830172278853635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6116787192 and 6116787201.

It is not an unprimeable number, because it can be changed into a prime (6116787247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367090 + ... + 383390.

It is an arithmetic number, because the mean of its divisors is an integer number (148551975).

Almost surely, 26116787240 is an apocalyptic number.

6116787240 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 6116787240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9507326400).

6116787240 is an abundant number, since it is smaller than the sum of its proper divisors (12897865560).

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

6116787240 is a wasteful number, since it uses less digits than its factorization.

6116787240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16427 (or 16423 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6116787240 is about 78209.8922131977. The cubic root of 6116787240 is about 1828.8347205393.

The spelling of 6116787240 in words is "six billion, one hundred sixteen million, seven hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 59 60 106 118 120 159 177 212 236 265 295 318 354 424 472 530 590 636 708 795 885 1060 1180 1272 1416 1590 1770 2120 2360 3127 3180 3540 6254 6360 7080 9381 12508 15635 16301 18762 25016 31270 32602 37524 46905 48903 62540 65204 75048 81505 93810 97806 125080 130408 163010 187620 195612 244515 326020 375240 391224 489030 652040 863953 961759 978060 1727906 1923518 1956120 2591859 2885277 3455812 3847036 4319765 4808795 5183718 5770554 6911624 7694072 8639530 9617590 10367436 11541108 12959295 14426385 17279060 19235180 20734872 23082216 25918590 28852770 34558120 38470360 50973227 51837180 57705540 101946454 103674360 115411080 152919681 203892908 254866135 305839362 407785816 509732270 611678724 764598405 1019464540 1223357448 1529196810 2038929080 3058393620 6116787240