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5654241516 = 22372112833089
BaseRepresentation
bin1010100010000010…
…01110000011101100
3112121001110020012110
411101001032003230
543034441212031
62333022004020
7260055155100
oct52101160354
915531406173
105654241516
112441743380
121119716610
136c1569351
143b8d27900
152315dac46
hex15104e0ec

5654241516 has 144 divisors (see below), whose sum is σ = 16807029120. Its totient is φ = 1462970880.

The previous prime is 5654241511. The next prime is 5654241529. The reversal of 5654241516 is 6151424565.

It is not an unprimeable number, because it can be changed into a prime (5654241511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1828900 + ... + 1831988.

It is an arithmetic number, because the mean of its divisors is an integer number (116715480).

Almost surely, 25654241516 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 5654241516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8403514560).

5654241516 is an abundant number, since it is smaller than the sum of its proper divisors (11152787604).

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

5654241516 is a wasteful number, since it uses less digits than its factorization.

5654241516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3395 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 5654241516 is about 75194.6907434295. The cubic root of 5654241516 is about 1781.5230742094.

The spelling of 5654241516 in words is "five billion, six hundred fifty-four million, two hundred forty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 283 294 308 462 539 566 588 849 924 1078 1132 1617 1698 1981 2156 3089 3113 3234 3396 3962 5943 6178 6226 6468 7924 9267 9339 11886 12356 12452 13867 18534 18678 21623 21791 23772 27734 33979 37068 37356 41601 43246 43582 55468 64869 65373 67958 83202 86492 87164 101937 129738 130746 135916 151361 152537 166404 203874 237853 259476 261492 302722 305074 407748 454083 457611 475706 605444 610148 713559 874187 908166 915222 951412 1427118 1664971 1748374 1816332 1830444 2622561 2854236 3329942 3496748 4994913 5245122 6119309 6659884 9616057 9989826 10490244 12238618 18357927 19232114 19979652 24477236 28848171 36715854 38464228 42835163 57696342 67312399 73431708 85670326 115392684 128505489 134624798 171340652 201937197 257010978 269249596 403874394 471186793 514021956 807748788 942373586 1413560379 1884747172 2827120758 5654241516