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5200968336 = 2434361101409
BaseRepresentation
bin1001101100000000…
…00111101010010000
3111102110112120021220
410312000013222100
541122421441321
62220030445040
7242612333664
oct46600075220
914373476256
105200968336
1122298a1543
121011963780
1364b694875
14374a568a4
152069029c6
hex136007a90

5200968336 has 160 divisors (see below), whose sum is σ = 14146535040. Its totient is φ = 1645056000.

The previous prime is 5200968323. The next prime is 5200968427. The reversal of 5200968336 is 6338690025.

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, 12716100 + ... + 12716508.

It is an arithmetic number, because the mean of its divisors is an integer number (88415844).

Almost surely, 25200968336 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 5200968336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073267520).

5200968336 is an abundant number, since it is smaller than the sum of its proper divisors (8945566704).

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

5200968336 is a wasteful number, since it uses less digits than its factorization.

5200968336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 5200968336 is about 72117.7393988469. The cubic root of 5200968336 is about 1732.5857438162.

The spelling of 5200968336 in words is "five billion, two hundred million, nine hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 101 122 129 172 183 202 244 258 303 344 366 404 409 488 516 606 688 732 808 818 976 1032 1212 1227 1464 1616 1636 2064 2424 2454 2623 2928 3272 4343 4848 4908 5246 6161 6544 7869 8686 9816 10492 12322 13029 15738 17372 17587 18483 19632 20984 24644 24949 26058 31476 34744 35174 36966 41309 41968 49288 49898 52116 52761 62952 69488 70348 73932 74847 82618 98576 99796 104232 105522 123927 125904 140696 147864 149694 165236 199592 208464 211044 247854 264923 281392 295728 299388 330472 399184 422088 495708 529846 598776 660944 794769 844176 991416 1059692 1072807 1197552 1589538 1776287 1982832 2119384 2145614 2519849 3179076 3218421 3552574 4238768 4291228 5039698 5328861 6358152 6436842 7105148 7559547 8582456 10079396 10657722 12716304 12873684 14210296 15119094 17164912 20158792 21315444 25747368 28420592 30238188 40317584 42630888 51494736 60476376 85261776 108353507 120952752 216707014 325060521 433414028 650121042 866828056 1300242084 1733656112 2600484168 5200968336