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64661362948 = 227213375312941
BaseRepresentation
bin111100001110000111…
…100001100100000100
320011220100202120121101
4330032013201210010
52024411302103243
645412141225444
74446240342100
oct741607414404
9204810676541
1064661362948
1125471721036
1210646b62284
1361363b0910
1431b59a4900
151a36ab754d
hexf0e1e1904

64661362948 has 144 divisors (see below), whose sum is σ = 148347312624. Its totient is φ = 24417469440.

The previous prime is 64661362939. The next prime is 64661362981. The reversal of 64661362948 is 84926316646.

It can be written as a sum of positive squares in 8 ways, for example, as 4992552964 + 59668809984 = 70658^2 + 244272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4990158 + ... + 5003098.

It is an arithmetic number, because the mean of its divisors is an integer number (1030189671).

Almost surely, 264661362948 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 64661362948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173656312).

64661362948 is an abundant number, since it is smaller than the sum of its proper divisors (83685949676).

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

64661362948 is a wasteful number, since it uses less digits than its factorization.

64661362948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062 (or 13053 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 55.

The spelling of 64661362948 in words is "sixty-four billion, six hundred sixty-one million, three hundred sixty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 37 49 52 53 74 91 98 106 148 182 196 212 259 364 371 481 518 637 689 742 962 1036 1274 1378 1484 1813 1924 1961 2548 2597 2756 3367 3626 3922 4823 5194 6734 7252 7844 9646 10388 12941 13468 13727 19292 23569 25493 25882 27454 33761 47138 50986 51764 54908 67522 90587 94276 96089 101972 135044 168233 178451 181174 192178 336466 356902 362348 384356 478817 634109 672932 685873 713804 957634 1177631 1249157 1268218 1371746 1915268 2355262 2498314 2536436 2743492 3351719 4710524 4801111 4996628 6224621 6703438 8243417 8916349 9602222 12449242 13406876 16486834 17832698 19204444 23462033 24898484 25377301 32973668 33607777 35665396 43572347 46924066 50754602 62414443 67215554 87144694 93848132 101509204 124828886 134431108 174289388 177641107 249657772 305006429 329904913 355282214 436901101 610012858 659809826 710564428 873802202 1220025716 1243487749 1319619652 1747604404 2309334391 2486975498 4618668782 4973950996 9237337564 16165340737 32330681474 64661362948