[go: up one dir, main page]

Search a number
-
+
5067341664 = 253721197931
BaseRepresentation
bin1001011100000100…
…10111111101100000
3111002011002121221220
410232002113331200
540334214413124
62154454415040
7236400456600
oct45602277540
914064077856
105067341664
112170422880
12b95061480
13629aa9428
14360dd0c00
151e9d09879
hex12e097f60

5067341664 has 144 divisors (see below), whose sum is σ = 16880342976. Its totient is φ = 1316179200.

The previous prime is 5067341627. The next prime is 5067341687. The reversal of 5067341664 is 4661437605.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2779 + ... + 100709.

It is an arithmetic number, because the mean of its divisors is an integer number (117224604).

Almost surely, 25067341664 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 5067341664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440171488).

5067341664 is an abundant number, since it is smaller than the sum of its proper divisors (11813001312).

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

5067341664 is a wasteful number, since it uses less digits than its factorization.

5067341664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97969 (or 97954 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 5067341664 is about 71185.2629692410. The cubic root of 5067341664 is about 1717.6185792201.

The spelling of 5067341664 in words is "five billion, sixty-seven million, three hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 51744 97931 195862 293793 391724 587586 685517 783448 1077241 1175172 1371034 1566896 2056551 2154482 2350344 2742068 3133792 3231723 4113102 4308964 4700688 4798619 5484136 6463446 7540687 8226204 8617928 9401376 9597238 10968272 12926892 14395857 15081374 16452408 17235856 19194476 21936544 22622061 25853784 28791714 30162748 32904816 34471712 38388952 45244122 51707568 52784809 57583428 60325496 65809632 76777904 90488244 103415136 105569618 115166856 120650992 153555808 158354427 180976488 211139236 230333712 241301984 316708854 361952976 422278472 460667424 633417708 723905952 844556944 1266835416 1689113888 2533670832 5067341664