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5226442464 = 253172257733
BaseRepresentation
bin1001101111000010…
…10010111011100000
3111111020110210020010
410313201102323200
541200432124324
62222340444520
7243342012405
oct46741227340
914436423203
105226442464
112242210641
12101a3a9740
13653a43809
143781a82ac
15208c85829
hex137852ee0

5226442464 has 144 divisors (see below), whose sum is σ = 14650575408. Its totient is φ = 1631059968.

The previous prime is 5226442457. The next prime is 5226442471. The reversal of 5226442464 is 4642446225.

It is an interprime number because it is at equal distance from previous prime (5226442457) and next prime (5226442471).

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, 7129842 + ... + 7130574.

It is an arithmetic number, because the mean of its divisors is an integer number (101740107).

Almost surely, 25226442464 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 5226442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325287704).

5226442464 is an abundant number, since it is smaller than the sum of its proper divisors (9424132944).

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

5226442464 is a wasteful number, since it uses less digits than its factorization.

5226442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1012 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

The square root of 5226442464 is about 72294.1385175866. The cubic root of 5226442464 is about 1735.4098491657.

Adding to 5226442464 its reverse (4642446225), we get a palindrome (9868888689).

The spelling of 5226442464 in words is "five billion, two hundred twenty-six million, four hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 257 272 289 408 514 544 578 733 771 816 867 1028 1156 1466 1542 1632 1734 2056 2199 2312 2932 3084 3468 4112 4369 4398 4624 5864 6168 6936 8224 8738 8796 9248 11728 12336 12461 13107 13872 17476 17592 23456 24672 24922 26214 27744 34952 35184 37383 49844 52428 69904 70368 74273 74766 99688 104856 139808 148546 149532 188381 199376 209712 211837 222819 297092 299064 376762 398752 419424 423674 445638 565143 594184 598128 635511 753524 847348 891276 1130286 1188368 1196256 1271022 1507048 1694696 1782552 2260572 2376736 2542044 3014096 3202477 3389392 3565104 4521144 5084088 6028192 6404954 6778784 7130208 9042288 9607431 10168176 12809908 18084576 19214862 20336352 25619816 38429724 51239632 54442109 76859448 102479264 108884218 153718896 163326327 217768436 307437792 326652654 435536872 653305308 871073744 1306610616 1742147488 2613221232 5226442464