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5111001616 = 247412394657
BaseRepresentation
bin1001100001010001…
…11011001000010000
3111012012020210011011
410300220323020100
540431404022431
62203054300304
7240440540230
oct46050731020
914165223134
105111001616
112193033186
12ba77b7694
13635b54b16
14366b17cc0
151eda80cb1
hex130a3b210

5111001616 has 80 divisors (see below), whose sum is σ = 11644254720. Its totient is φ = 2127605760.

The previous prime is 5111001613. The next prime is 5111001619. The reversal of 5111001616 is 6161001115.

It is an interprime number because it is at equal distance from previous prime (5111001613) and next prime (5111001619).

It is a super-2 number, since 2×51110016162 = 52244675037509222912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5111001613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095160 + ... + 1099816.

It is an arithmetic number, because the mean of its divisors is an integer number (145553184).

Almost surely, 25111001616 is an apocalyptic number.

5111001616 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 5111001616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822127360).

5111001616 is an abundant number, since it is smaller than the sum of its proper divisors (6533253104).

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

5111001616 is a wasteful number, since it uses less digits than its factorization.

5111001616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4952 (or 4946 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The square root of 5111001616 is about 71491.2695089407. The cubic root of 5111001616 is about 1722.5374499972.

The spelling of 5111001616 in words is "five billion, one hundred eleven million, one thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 239 287 328 478 574 656 956 1148 1673 1912 2296 3346 3824 4592 4657 6692 9314 9799 13384 18628 19598 26768 32599 37256 39196 65198 68593 74512 78392 130396 137186 156784 190937 260792 274372 381874 521584 548744 763748 1097488 1113023 1336559 1527496 2226046 2673118 3054992 4452092 5346236 7791161 8904184 10692472 15582322 17808368 21384944 31164644 45633943 62329288 91267886 124658576 182535772 319437601 365071544 638875202 730143088 1277750404 2555500808 5111001616