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5464722564 = 2233710171569
BaseRepresentation
bin1010001011011100…
…10000110010000100
3112002211211200002000
411011232100302010
542142432110224
62302131545300
7252264242520
oct50556206204
915084750060
105464722564
112354769a44
12108615b230
13691211862
1439bab2d80
1521eb520c9
hex145b90c84

5464722564 has 96 divisors (see below), whose sum is σ = 16352313600. Its totient is φ = 1545868800.

The previous prime is 5464722551. The next prime is 5464722581. The reversal of 5464722564 is 4652274645.

5464722564 is a `hidden beast` number, since 5 + 4 + 64 + 7 + 22 + 564 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40572 + ... + 112140.

It is an arithmetic number, because the mean of its divisors is an integer number (170336600).

Almost surely, 25464722564 is an apocalyptic number.

5464722564 is a gapful number since it is divisible by the number (54) 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 5464722564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176156800).

5464722564 is an abundant number, since it is smaller than the sum of its proper divisors (10887591036).

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

5464722564 is a wasteful number, since it uses less digits than its factorization.

5464722564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71690 (or 71682 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 5464722564 is about 73923.7618360971. The cubic root of 5464722564 is about 1761.3920808849.

The spelling of 5464722564 in words is "five billion, four hundred sixty-four million, seven hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 101 108 126 189 202 252 303 378 404 606 707 756 909 1212 1414 1818 2121 2727 2828 3636 4242 5454 6363 8484 10908 12726 19089 25452 38178 71569 76356 143138 214707 286276 429414 500983 644121 858828 1001966 1288242 1502949 1932363 2003932 2576484 3005898 3864726 4508847 6011796 7228469 7729452 9017694 13526541 14456938 18035388 21685407 27053082 28913876 43370814 50599283 54106164 65056221 86741628 101198566 130112442 151797849 195168663 202397132 260224884 303595698 390337326 455393547 607191396 780674652 910787094 1366180641 1821574188 2732361282 5464722564