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6104380968 = 2334713110273
BaseRepresentation
bin1011010111101100…
…10111011000101000
3120202102110200110000
411223312113120220
5100000210142333
62445422023000
7304162245030
oct55366273050
916672420400
106104380968
112652844854
121224417a60
137638b465a
1441ca208c0
1525ada5713
hex16bd97628

6104380968 has 160 divisors (see below), whose sum is σ = 19691559360. Its totient is φ = 1730626560.

The previous prime is 6104380967. The next prime is 6104380979. The reversal of 6104380968 is 8690834016.

It is not an unprimeable number, because it can be changed into a prime (6104380967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 589080 + ... + 599352.

It is an arithmetic number, because the mean of its divisors is an integer number (123072246).

Almost surely, 26104380968 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 6104380968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9845779680).

6104380968 is an abundant number, since it is smaller than the sum of its proper divisors (13587178392).

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

6104380968 is a wasteful number, since it uses less digits than its factorization.

6104380968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10429 (or 10416 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6104380968 is about 78130.5379989156. The cubic root of 6104380968 is about 1827.5974491337.

The spelling of 6104380968 in words is "six billion, one hundred four million, three hundred eighty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 131 162 168 189 216 252 262 324 378 393 504 524 567 648 756 786 917 1048 1134 1179 1512 1572 1834 2268 2358 2751 3144 3537 3668 4536 4716 5502 7074 7336 8253 9432 10273 10611 11004 14148 16506 20546 21222 22008 24759 28296 30819 33012 41092 42444 49518 61638 66024 71911 74277 82184 84888 92457 99036 123276 143822 148554 184914 198072 215733 246552 277371 287644 297108 369828 431466 554742 575288 594216 647199 739656 832113 862932 1109484 1294398 1345763 1664226 1725864 1941597 2218968 2588796 2691526 3328452 3883194 4037289 5177592 5383052 5824791 6656904 7766388 8074578 9420341 10766104 11649582 12111867 15532776 16149156 18840682 23299164 24223734 28261023 32298312 36335601 37681364 46598328 48447468 56522046 72671202 75362728 84783069 96894936 109006803 113044092 145342404 169566138 218013606 226088184 254349207 290684808 339132276 436027212 508698414 678264552 763047621 872054424 1017396828 1526095242 2034793656 3052190484 6104380968