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5872336344 = 23327101115361
BaseRepresentation
bin1010111100000010…
…01011110111011000
3120011020211121001200
411132001023313120
544011304230334
62410412314200
7265344015060
oct53601136730
916136747050
105872336344
112543865236
12117a772960
137277ba844
143d9c9a3a0
1524581b799
hex15e04bdd8

5872336344 has 96 divisors (see below), whose sum is σ = 18356401440. Its totient is φ = 1661184000.

The previous prime is 5872336319. The next prime is 5872336387. The reversal of 5872336344 is 4436332785.

5872336344 is a `hidden beast` number, since 5 + 8 + 7 + 2 + 3 + 3 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5872336344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6777 + ... + 108584.

It is an arithmetic number, because the mean of its divisors is an integer number (191212515).

Almost surely, 25872336344 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 5872336344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178200720).

5872336344 is an abundant number, since it is smaller than the sum of its proper divisors (12484065096).

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

5872336344 is a wasteful number, since it uses less digits than its factorization.

5872336344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115481 (or 115474 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 5872336344 is about 76631.1708379821. The cubic root of 5872336344 is about 1804.1402989526.

The spelling of 5872336344 in words is "five billion, eight hundred seventy-two million, three hundred thirty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1414 1818 2121 2424 2828 3636 4242 5656 6363 7272 8484 12726 16968 25452 50904 115361 230722 346083 461444 692166 807527 922888 1038249 1384332 1615054 2076498 2422581 2768664 3230108 4152996 4845162 6460216 7267743 8305992 9690324 11651461 14535486 19380648 23302922 29070972 34954383 46605844 58141944 69908766 81560227 93211688 104863149 139817532 163120454 209726298 244680681 279635064 326240908 419452596 489361362 652481816 734042043 838905192 978722724 1468084086 1957445448 2936168172 5872336344