Search a number
-
+
861589945240 = 23531983706847
BaseRepresentation
bin11001000100110101100…
…00110011101110011000
310001100220200111010120121
430202122300303232120
5103104014011221430
61455450422403024
7116151000461413
oct14423260635630
93040820433517
10861589945240
11302442076192
1211ab94890474
136332ac2bb5b
142d9b6052b7a
151762a409a7a
hexc89ac33b98

861589945240 has 64 divisors (see below), whose sum is σ = 2003150684160. Its totient is φ = 333178930560.

The previous prime is 861589945093. The next prime is 861589945241. The reversal of 861589945240 is 42549985168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (861589945241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865497 + ... + 1572343.

It is an arithmetic number, because the mean of its divisors is an integer number (31299229440).

Almost surely, 2861589945240 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 861589945240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001575342080).

861589945240 is an abundant number, since it is smaller than the sum of its proper divisors (1141560738920).

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

861589945240 is a wasteful number, since it uses less digits than its factorization.

861589945240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707872 (or 707868 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 61.

The spelling of 861589945240 in words is "eight hundred sixty-one billion, five hundred eighty-nine million, nine hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 983 1240 1966 3932 4915 7864 9830 19660 30473 39320 60946 121892 152365 243784 304730 609460 706847 1218920 1413694 2827388 3534235 5654776 7068470 14136940 21912257 28273880 43824514 87649028 109561285 175298056 219122570 438245140 694830601 876490280 1389661202 2779322404 3474153005 5558644808 6948306010 13896612020 21539748631 27793224040 43079497262 86158994524 107698743155 172317989048 215397486310 430794972620 861589945240