Search a number
-
+
2645063124 = 2231197337613
BaseRepresentation
bin1001110110101000…
…0111010111010100
320211100011010110220
42131222013113110
520404114004444
61114244514340
7122355444204
oct23552072724
96740133426
102645063124
111138084090
126199ab9b0
13331cc0212
141b1412404
15107332619
hex9da875d4

2645063124 has 96 divisors (see below), whose sum is σ = 6833613696. Its totient is φ = 789626880.

The previous prime is 2645063119. The next prime is 2645063149. The reversal of 2645063124 is 4213605462.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 4314642 + ... + 4315254.

It is an arithmetic number, because the mean of its divisors is an integer number (71183476).

Almost surely, 22645063124 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 2645063124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416806848).

2645063124 is an abundant number, since it is smaller than the sum of its proper divisors (4188550572).

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

2645063124 is a wasteful number, since it uses less digits than its factorization.

2645063124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2645063124 is about 51430.1771725511. The cubic root of 2645063124 is about 1382.9676254480.

Adding to 2645063124 its reverse (4213605462), we get a palindrome (6858668586).

The spelling of 2645063124 in words is "two billion, six hundred forty-five million, sixty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 337 388 582 613 674 1011 1067 1164 1226 1348 1839 2022 2134 2452 3201 3678 3707 4044 4268 6402 6743 7356 7414 11121 12804 13486 14828 20229 22242 26972 32689 40458 44484 59461 65378 80916 98067 118922 130756 178383 196134 206581 237844 356766 359579 392268 413162 619743 654071 713532 719158 826324 1078737 1239486 1308142 1438316 1962213 2157474 2272391 2478972 2616284 3924426 4314948 4544782 6817173 7848852 9089564 13634346 20038357 27268692 40076714 60115071 80153428 120230142 220421927 240460284 440843854 661265781 881687708 1322531562 2645063124