Search a number
-
+
5201639296 = 2772312863
BaseRepresentation
bin1001101100000101…
…01011011110000000
3111102111210122200021
410312002223132000
541123104424141
62220053103224
7242621130100
oct46602533600
914374718607
105201639296
11222a20a657
121012027b14
1364b86b099
14374b8d200
152069d66d1
hex1360ab780

5201639296 has 144 divisors (see below), whose sum is σ = 12470332320. Its totient is φ = 2154862080.

The previous prime is 5201639251. The next prime is 5201639297. The reversal of 5201639296 is 6929361025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201639297) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6026961 + ... + 6027823.

It is an arithmetic number, because the mean of its divisors is an integer number (86599530).

Almost surely, 25201639296 is an apocalyptic number.

5201639296 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 5201639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235166160).

5201639296 is an abundant number, since it is smaller than the sum of its proper divisors (7268693024).

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

5201639296 is an equidigital number, since it uses as much as digits as its factorization.

5201639296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The square root of 5201639296 is about 72122.3910862639. The cubic root of 5201639296 is about 1732.6602456954.

The spelling of 5201639296 in words is "five billion, two hundred one million, six hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 496 784 863 868 896 961 992 1519 1568 1726 1736 1922 1984 3038 3136 3452 3472 3844 3968 6041 6076 6272 6727 6904 6944 7688 12082 12152 13454 13808 13888 15376 24164 24304 26753 26908 27616 27776 30752 42287 47089 48328 48608 53506 53816 55232 61504 84574 94178 96656 97216 107012 107632 110464 123008 169148 187271 188356 193312 194432 214024 215264 338296 374542 376712 386624 428048 430528 676592 749084 753424 773248 829343 856096 861056 1310897 1353184 1498168 1506848 1658686 1712192 2621794 2706368 2996336 3013696 3317372 3424384 5243588 5412736 5805401 5992672 6027392 6634744 10487176 11610802 11985344 13269488 20974352 23221604 23970688 26538976 40637807 41948704 46443208 53077952 81275614 83897408 92886416 106155904 162551228 167794816 185772832 325102456 371545664 650204912 743091328 1300409824 2600819648 5201639296