Search a number
-
+
7613206640 = 2451324711981
BaseRepresentation
bin1110001011100100…
…00101000001110000
3201122120120222011022
413011302011001300
5111042440103030
63255241235012
7356443121504
oct70562050160
921576528138
107613206640
113257502916
121585792a68
13944376b00
14523180304
152e8594de5
hex1c5c85070

7613206640 has 120 divisors (see below), whose sum is σ = 19576479168. Its totient is φ = 2750991360.

The previous prime is 7613206639. The next prime is 7613206651. The reversal of 7613206640 is 466023167.

It is a self number, because there is not a number n which added to its sum of digits gives 7613206640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629450 + ... + 641430.

Almost surely, 27613206640 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 7613206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788239584).

7613206640 is an abundant number, since it is smaller than the sum of its proper divisors (11963272528).

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

7613206640 is a wasteful number, since it uses less digits than its factorization.

7613206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12067 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 7613206640 is about 87253.6912686220. The cubic root of 7613206640 is about 1967.2333241525.

The spelling of 7613206640 in words is "seven billion, six hundred thirteen million, two hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 169 188 208 235 260 338 376 470 520 611 676 752 845 940 1040 1222 1352 1690 1880 2444 2704 3055 3380 3760 4888 6110 6760 7943 9776 11981 12220 13520 15886 23962 24440 31772 39715 47924 48880 59905 63544 79430 95848 119810 127088 155753 158860 191696 239620 311506 317720 479240 563107 623012 635440 778765 958480 1126214 1246024 1557530 2024789 2252428 2492048 2815535 3115060 4049578 4504856 5631070 6230120 7320391 8099156 9009712 10123945 11262140 12460240 14640782 16198312 20247890 22524280 29281564 32396624 36601955 40495780 45048560 58563128 73203910 80991560 95165083 117126256 146407820 161983120 190330166 292815640 380660332 475825415 585631280 761320664 951650830 1522641328 1903301660 3806603320 7613206640