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6464666052 = 223513618387
BaseRepresentation
bin1100000010101001…
…01111100111000100
3121200112102001200000
412001110233213010
5101214423303202
62545252121300
7316125516615
oct60124574704
917615361600
106464666052
112818154319
121305006230
137c042c0b0
14454807c0c
1527c82191c
hex18152f9c4

6464666052 has 144 divisors (see below), whose sum is σ = 18551437632. Its totient is φ = 1956286080.

The previous prime is 6464666023. The next prime is 6464666081. The reversal of 6464666052 is 2506664646.

It is an interprime number because it is at equal distance from previous prime (6464666023) and next prime (6464666081).

It is a junction number, because it is equal to n+sod(n) for n = 6464665989 and 6464666007.

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, 766603 + ... + 774989.

It is an arithmetic number, because the mean of its divisors is an integer number (128829428).

Almost surely, 26464666052 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 6464666052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275718816).

6464666052 is an abundant number, since it is smaller than the sum of its proper divisors (12086771580).

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

6464666052 is a wasteful number, since it uses less digits than its factorization.

6464666052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 6464666052 is about 80403.1470279615. The cubic root of 6464666052 is about 1862.8677821637.

The spelling of 6464666052 in words is "six billion, four hundred sixty-four million, six hundred sixty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 243 244 324 351 366 468 486 549 702 732 793 972 1053 1098 1404 1586 1647 2106 2196 2379 3159 3172 3294 4212 4758 4941 6318 6588 7137 8387 9516 9882 12636 14274 14823 16774 19764 21411 25161 28548 29646 33548 42822 50322 59292 64233 75483 85644 100644 109031 128466 150966 192699 218062 226449 256932 301932 327093 385398 436124 452898 511607 654186 679347 770796 905796 981279 1023214 1308372 1358694 1534821 1962558 2038041 2046428 2717388 2943837 3069642 3925116 4076082 4604463 5887674 6139284 6650891 8152164 8831511 9208926 11775348 13301782 13813389 17663022 18417852 19952673 26494533 26603564 27626778 35326044 39905346 41440167 52989066 55253556 59858019 79810692 82880334 105978132 119716038 124320501 165760668 179574057 239432076 248641002 359148114 497282004 538722171 718296228 1077444342 1616166513 2154888684 3232333026 6464666052