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5114356016 = 2471129433329
BaseRepresentation
bin1001100001101011…
…01110000100110000
3111012102120012112012
410300311232010300
540433233343031
62203254222052
7240511210640
oct46065560460
914172505465
105114356016
112194a14410
12ba8954928
1363675a883
1436734c520
151edee4b2b
hex130d6e130

5114356016 has 160 divisors (see below), whose sum is σ = 13081305600. Its totient is φ = 1878589440.

The previous prime is 5114355991. The next prime is 5114356033. The reversal of 5114356016 is 6106534115.

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, 1534640 + ... + 1537968.

It is an arithmetic number, because the mean of its divisors is an integer number (81758160).

Almost surely, 25114356016 is an apocalyptic number.

5114356016 is a gapful number since it is divisible by the number (56) 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 5114356016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540652800).

5114356016 is an abundant number, since it is smaller than the sum of its proper divisors (7966949584).

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

5114356016 is a wasteful number, since it uses less digits than its factorization.

5114356016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 5114356016 is about 71514.7258681735. The cubic root of 5114356016 is about 1722.9142069389.

The spelling of 5114356016 in words is "five billion, one hundred fourteen million, three hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 43 44 56 58 77 86 88 112 116 154 172 176 203 232 301 308 319 344 406 464 473 602 616 638 688 812 946 1204 1232 1247 1276 1624 1892 2233 2408 2494 2552 3248 3311 3329 3784 4466 4816 4988 5104 6622 6658 7568 8729 8932 9976 13244 13316 13717 17458 17864 19952 23303 26488 26632 27434 34916 35728 36619 46606 52976 53264 54868 69832 73238 93212 96019 96541 109736 139664 143147 146476 186424 192038 193082 219472 256333 286294 292952 372848 384076 386164 512666 572588 585904 675787 768152 772328 1002029 1025332 1061951 1145176 1351574 1536304 1544656 1574617 2004058 2050664 2123902 2290352 2703148 3149234 4008116 4101328 4151263 4247804 5406296 6298468 7433657 8016232 8302526 8495608 10812592 11022319 12596936 14867314 16032464 16605052 16991216 22044638 25193872 29058841 29734628 33210104 44089276 45663893 58117682 59469256 66420208 88178552 91327786 116235364 118938512 176357104 182655572 232470728 319647251 365311144 464941456 639294502 730622288 1278589004 2557178008 5114356016