Search a number
-
+
2564337052 = 221719109131139
BaseRepresentation
bin1001100011011000…
…1010110110011100
320121201020211010101
42120312022312130
520222432241202
61102242350444
7120355335214
oct23066126634
96551224111
102564337052
1110a6557422
125b695b424
1331b367504
141a47db244
151001d8887
hex98d8ad9c

2564337052 has 96 divisors (see below), whose sum is σ = 5122656000. Its totient is φ = 1116011520.

The previous prime is 2564337047. The next prime is 2564337073. The reversal of 2564337052 is 2507334652.

2564337052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18448399 + ... + 18448537.

It is an arithmetic number, because the mean of its divisors is an integer number (53361000).

Almost surely, 22564337052 is an apocalyptic number.

It is an amenable number.

2564337052 is a deficient number, since it is larger than the sum of its proper divisors (2558318948).

2564337052 is a wasteful number, since it uses less digits than its factorization.

2564337052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The square root of 2564337052 is about 50639.2836837173. The cubic root of 2564337052 is about 1368.7528480109.

The spelling of 2564337052 in words is "two billion, five hundred sixty-four million, three hundred thirty-seven thousand, fifty-two".

Divisors: 1 2 4 17 19 34 38 68 76 109 131 139 218 262 278 323 436 524 556 646 1292 1853 2071 2227 2363 2489 2641 3706 4142 4454 4726 4978 5282 7412 8284 8908 9452 9956 10564 14279 15151 18209 28558 30302 35207 36418 42313 44897 57116 60604 70414 72836 84626 89794 140828 169252 179588 242743 257567 271301 287869 309553 345971 485486 515134 542602 575738 619106 691942 970972 1030268 1085204 1151476 1238212 1383884 1984781 3969562 4612117 4893773 5881507 7939124 9224234 9787546 11763014 18448468 19575092 23526028 33741277 37710839 67482554 75421678 134965108 150843356 641084263 1282168526 2564337052