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64562270448 = 243131932292341
BaseRepresentation
bin111100001000001101…
…100001000011110000
320011122110022011020210
4330020031201003300
52024210420123243
645354241304120
74443625146504
oct741015410360
9204573264223
1064562270448
112542079a405
1210619935040
13611b9c71c0
1431a676c304
151a2d041933
hexf083610f0

64562270448 has 160 divisors (see below), whose sum is σ = 181412069440. Its totient is φ = 19667681280.

The previous prime is 64562270447. The next prime is 64562270477. The reversal of 64562270448 is 84407226546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 64562270397 and 64562270406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64562270447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27577758 + ... + 27580098.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825434).

Almost surely, 264562270448 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 64562270448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90706034720).

64562270448 is an abundant number, since it is smaller than the sum of its proper divisors (116849798992).

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

64562270448 is a wasteful number, since it uses less digits than its factorization.

64562270448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 64562270448 in words is "sixty-four billion, five hundred sixty-two million, two hundred seventy thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 193 208 229 312 386 458 579 624 687 772 916 1158 1374 1544 1832 2316 2341 2509 2748 2977 3088 3664 4632 4682 5018 5496 5954 7023 7527 8931 9264 9364 10036 10992 11908 14046 15054 17862 18728 20072 23816 28092 30108 30433 35724 37456 40144 44197 47632 56184 60216 60866 71448 88394 91299 112368 120432 121732 132591 142896 176788 182598 243464 265182 353576 365196 451813 486928 530364 536089 574561 707152 730392 903626 1060728 1072178 1149122 1355439 1460784 1608267 1723683 1807252 2121456 2144356 2298244 2710878 3216534 3447366 3614504 4288712 4596488 5421756 5873569 6433068 6894732 6969157 7229008 8577424 9192976 10843512 11747138 12866136 13789464 13938314 17620707 20907471 21687024 23494276 25732272 27578928 27876628 35241414 41814942 46988552 55753256 70482828 83629884 93977104 103465177 111506512 140965656 167259768 206930354 281931312 310395531 334519536 413860708 620791062 827721416 1241582124 1345047301 1655442832 2483164248 2690094602 4035141903 4966328496 5380189204 8070283806 10760378408 16140567612 21520756816 32281135224 64562270448