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5364953664 = 26379714111
BaseRepresentation
bin1001111111100011…
…01011001001000000
3111211220002212212120
410333301223021000
541441412004124
62244205324240
7246643232220
oct47761531100
914756085776
105364953664
112303416104
121058866680
1367664c2c5
1438c742080
15215ee5d79
hex13fc6b240

5364953664 has 112 divisors (see below), whose sum is σ = 16243255296. Its totient is φ = 1530892800.

The previous prime is 5364953663. The next prime is 5364953669. The reversal of 5364953664 is 4663594635.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5364953663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302969 + ... + 1307079.

Almost surely, 25364953664 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 5364953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121627648).

5364953664 is an abundant number, since it is smaller than the sum of its proper divisors (10878301632).

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

5364953664 is a wasteful number, since it uses less digits than its factorization.

5364953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5094 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 51.

The square root of 5364953664 is about 73245.8440049673. The cubic root of 5364953664 is about 1750.6069909635.

The spelling of 5364953664 in words is "five billion, three hundred sixty-four million, nine hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 971 1344 1942 2913 3884 4111 5826 6797 7768 8222 11652 12333 13594 15536 16444 20391 23304 24666 27188 28777 31072 32888 40782 46608 49332 54376 57554 62144 65776 81564 86331 93216 98664 108752 115108 131552 163128 172662 186432 197328 217504 230216 263104 326256 345324 394656 435008 460432 652512 690648 789312 920864 1305024 1381296 1841728 2762592 3991781 5525184 7983562 11975343 15967124 23950686 27942467 31934248 47901372 55884934 63868496 83827401 95802744 111769868 127736992 167654802 191605488 223539736 255473984 335309604 383210976 447079472 670619208 766421952 894158944 1341238416 1788317888 2682476832 5364953664