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5081976816 = 2437193125679
BaseRepresentation
bin1001011101110100…
…01100111111110000
3111010011122011121120
410232322030333300
540401441224231
62200140222240
7236636042640
oct45672147760
914104564546
105081976816
112178709444
12b99b3a980
1362cb31997
14362d20520
151eb24ad96
hex12ee8cff0

5081976816 has 160 divisors (see below), whose sum is σ = 16303718400. Its totient is φ = 1331147520.

The previous prime is 5081976793. The next prime is 5081976829. The reversal of 5081976816 is 6186791805.

It is a super-2 number, since 2×50819768162 = 51652976716722995712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185065 + ... + 210743.

It is an arithmetic number, because the mean of its divisors is an integer number (101898240).

Almost surely, 25081976816 is an apocalyptic number.

5081976816 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 5081976816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151859200).

5081976816 is an abundant number, since it is smaller than the sum of its proper divisors (11221741584).

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

5081976816 is a wasteful number, since it uses less digits than its factorization.

5081976816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25747 (or 25741 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 5081976816 is about 71287.9850746253. The cubic root of 5081976816 is about 1719.2705596312.

The spelling of 5081976816 in words is "five billion, eighty-one million, nine hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 589 651 744 798 868 912 1064 1178 1302 1488 1596 1736 1767 2128 2356 2604 3192 3472 3534 4123 4712 5208 6384 7068 8246 9424 10416 12369 14136 16492 24738 25679 28272 32984 49476 51358 65968 77037 98952 102716 154074 179753 197904 205432 308148 359506 410864 487901 539259 616296 719012 796049 975802 1078518 1232592 1438024 1463703 1592098 1951604 2157036 2388147 2876048 2927406 3184196 3415307 3903208 4314072 4776294 5572343 5854812 6368392 6830614 7806416 8628144 9552588 10245921 11144686 11709624 12736784 13661228 15124931 16717029 19105176 20491842 22289372 23419248 27322456 30249862 33434058 38210352 40983684 44578744 45374793 54644912 60499724 66868116 81967368 89157488 90749586 105874517 120999448 133736232 163934736 181499172 211749034 241998896 267472464 317623551 362998344 423498068 635247102 725996688 846996136 1270494204 1693992272 2540988408 5081976816