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2640752544 = 253192233313
BaseRepresentation
bin1001110101100110…
…1010111110100000
320211001001010110210
42131121222332200
520402013040134
61114012254120
7122304012003
oct23531527640
96731033423
102640752544
1111356aa521
12618471340
13331141191
141b0a0d53a
15106c802e9
hex9d66afa0

2640752544 has 144 divisors (see below), whose sum is σ = 7636410432. Its totient is φ = 797423616.

The previous prime is 2640752501. The next prime is 2640752551. The reversal of 2640752544 is 4452570462.

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, 795432 + ... + 798744.

It is an arithmetic number, because the mean of its divisors is an integer number (53030628).

Almost surely, 22640752544 is an apocalyptic number.

2640752544 is a gapful number since it is divisible by the number (24) 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 2640752544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818205216).

2640752544 is an abundant number, since it is smaller than the sum of its proper divisors (4995657888).

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

2640752544 is a wasteful number, since it uses less digits than its factorization.

2640752544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 2640752544 is about 51388.2529767261. The cubic root of 2640752544 is about 1382.2159566963.

The spelling of 2640752544 in words is "two billion, six hundred forty million, seven hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 361 368 437 456 552 608 722 736 874 912 1083 1104 1311 1444 1748 1824 2166 2208 2622 2888 3313 3496 4332 5244 5776 6626 6992 8303 8664 9939 10488 11552 13252 13984 16606 17328 19878 20976 24909 26504 33212 34656 39756 41952 49818 53008 62947 66424 76199 79512 99636 106016 125894 132848 152398 159024 188841 199272 228597 251788 265696 304796 318048 377682 398544 457194 503576 609592 755364 797088 914388 1007152 1195993 1219184 1447781 1510728 1828776 2014304 2391986 2438368 2895562 3021456 3587979 3657552 4343343 4783972 5791124 6042912 7175958 7315104 8686686 9567944 11582248 14351916 17373372 19135888 23164496 27507839 28703832 34746744 38271776 46328992 55015678 57407664 69493488 82523517 110031356 114815328 138986976 165047034 220062712 330094068 440125424 660188136 880250848 1320376272 2640752544