Search a number
-
+
5201915264 = 27721363799
BaseRepresentation
bin1001101100000111…
…01110110110000000
3111102112022200020022
410312003232312000
541123142242024
62220103033012
7242623356500
oct46603566600
914375280208
105201915264
11222a388a27
12101213b768
1364b936890
14374c21a00
15206a3d35e
hex1360eed80

5201915264 has 96 divisors (see below), whose sum is σ = 12982662000. Its totient is φ = 2057868288.

The previous prime is 5201915263. The next prime is 5201915273. The reversal of 5201915264 is 4625191025.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201915263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49637 + ... + 113435.

Almost surely, 25201915264 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 5201915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491331000).

5201915264 is an abundant number, since it is smaller than the sum of its proper divisors (7780746736).

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

5201915264 is a wasteful number, since it uses less digits than its factorization.

5201915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63840 (or 63821 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 5201915264 is about 72124.3042531434. The cubic root of 5201915264 is about 1732.6908866979.

The spelling of 5201915264 in words is "five billion, two hundred one million, nine hundred fifteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 728 784 832 896 1274 1456 1568 1664 2548 2912 3136 5096 5824 6272 10192 11648 20384 40768 63799 81536 127598 255196 446593 510392 829387 893186 1020784 1658774 1786372 2041568 3126151 3317548 3572744 4083136 5805709 6252302 6635096 7145488 8166272 11611418 12504604 13270192 14290976 23222836 25009208 26540384 28581952 40639963 46445672 50018416 53080768 57163904 81279926 92891344 100036832 106161536 162559852 185782688 200073664 325119704 371565376 400147328 650239408 743130752 1300478816 2600957632 5201915264