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5016665600 = 29523491123
BaseRepresentation
bin1001010110000010…
…00011111000000000
3110221121202000110122
410223001003320000
540233231244400
62145444315412
7235213645142
oct45301037000
913847660418
105016665600
112144860131
12b800a2b68
1361c4453ab
1435839cc92
151e5649685
hex12b043e00

5016665600 has 120 divisors (see below), whose sum is σ = 12475894200. Its totient is φ = 1999134720.

The previous prime is 5016665597. The next prime is 5016665603. The reversal of 5016665600 is 65666105.

It is an interprime number because it is at equal distance from previous prime (5016665597) and next prime (5016665603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016665603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4466639 + ... + 4467761.

It is an arithmetic number, because the mean of its divisors is an integer number (103965785).

Almost surely, 25016665600 is an apocalyptic number.

5016665600 is a gapful number since it is divisible by the number (50) 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 5016665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237947100).

5016665600 is an abundant number, since it is smaller than the sum of its proper divisors (7459228600).

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

5016665600 is a wasteful number, since it uses less digits than its factorization.

5016665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 5016665600 is about 70828.4236729860. The cubic root of 5016665600 is about 1711.8736914413.

The spelling of 5016665600 in words is "five billion, sixteen million, six hundred sixty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 349 400 512 640 698 800 1123 1280 1396 1600 1745 2246 2560 2792 3200 3490 4492 5584 5615 6400 6980 8725 8984 11168 11230 12800 13960 17450 17968 22336 22460 27920 28075 34900 35936 44672 44920 55840 56150 69800 71872 89344 89840 111680 112300 139600 143744 178688 179680 223360 224600 279200 287488 359360 391927 446720 449200 558400 574976 718720 783854 893440 898400 1116800 1437440 1567708 1796800 1959635 2233600 2874880 3135416 3593600 3919270 4467200 6270832 7187200 7838540 9798175 12541664 14374400 15677080 19596350 25083328 31354160 39192700 50166656 62708320 78385400 100333312 125416640 156770800 200666624 250833280 313541600 501666560 627083200 1003333120 1254166400 2508332800 5016665600