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5426274564 = 2235291631181
BaseRepresentation
bin1010000110110111…
…00110000100000100
3112000011111022100000
411003123212010010
542103111241224
62254235521300
7251316400314
oct50333460404
915004438300
105426274564
112334a99437
1210752b9230
1368626c569
14396945444
1521b5aa0c9
hex1436e6104

5426274564 has 144 divisors (see below), whose sum is σ = 14817741120. Its totient is φ = 1734203520.

The previous prime is 5426274547. The next prime is 5426274583. The reversal of 5426274564 is 4654726245.

5426274564 is a `hidden beast` number, since 542 + 6 + 2 + 7 + 45 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4594054 + ... + 4595234.

It is an arithmetic number, because the mean of its divisors is an integer number (102900980).

Almost surely, 25426274564 is an apocalyptic number.

5426274564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5426274564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408870560).

5426274564 is an abundant number, since it is smaller than the sum of its proper divisors (9391466556).

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

5426274564 is a wasteful number, since it uses less digits than its factorization.

5426274564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 5426274564 is about 73663.2511093557. The cubic root of 5426274564 is about 1757.2514955861.

The spelling of 5426274564 in words is "five billion, four hundred twenty-six million, two hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 163 174 243 261 324 326 348 486 489 522 652 783 972 978 1044 1181 1467 1566 1956 2349 2362 2934 3132 3543 4401 4698 4724 4727 5868 7047 7086 8802 9396 9454 10629 13203 14094 14172 14181 17604 18908 21258 26406 28188 28362 31887 34249 39609 42516 42543 52812 56724 63774 68498 79218 85086 95661 102747 127548 127629 136996 158436 170172 191322 192503 205494 255258 286983 308241 382644 382887 385006 410988 510516 573966 577509 616482 765774 770012 924723 1147932 1148661 1155018 1232964 1531548 1732527 1849446 2297322 2310036 2774169 3465054 3698892 4594644 5197581 5548338 5582587 6930108 8322507 10395162 11096676 11165174 15592743 16645014 16747761 20790324 22330348 31185486 33290028 33495522 46778229 50243283 62370972 66991044 93556458 100486566 150729849 187112916 200973132 301459698 452189547 602919396 904379094 1356568641 1808758188 2713137282 5426274564