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42594449524 = 221122311033469
BaseRepresentation
bin100111101010110100…
…111011100001110100
311001221110222020011121
4213222310323201310
51144213134341044
631322334513324
73035346563404
oct475264734164
9131843866147
1042594449524
1117078502400
128308965844
13402a730cb3
1420c0da6804
15119466c984
hex9ead3b874

42594449524 has 72 divisors (see below), whose sum is σ = 85597182720. Its totient is φ = 18497202240.

The previous prime is 42594449507. The next prime is 42594449549.

42594449524 is nontrivially palindromic in base 10.

Its product of digits (8294400) is a multiple of the sum of its prime divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12276862 + ... + 12280330.

It is an arithmetic number, because the mean of its divisors is an integer number (1188849760).

Almost surely, 242594449524 is an apocalyptic number.

42594449524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42594449524 is an abundant number, since it is smaller than the sum of its proper divisors (43002733196).

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

42594449524 is a wasteful number, since it uses less digits than its factorization.

42594449524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4608 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 42594449524 in words is "forty-two billion, five hundred ninety-four million, four hundred forty-nine thousand, five hundred twenty-four".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 1012 1103 2206 2783 3469 4412 5566 6938 11132 12133 13876 24266 25369 38159 48532 50738 76318 79787 101476 133463 152636 159574 266926 279059 319148 419749 533852 558118 839498 877657 1116236 1678996 1755314 3069649 3510628 3826307 6139298 7652614 9654227 12278596 15305228 19308454 38616908 42089377 84178754 88005061 168357508 176010122 352020244 462983147 925966294 968055671 1851932588 1936111342 3872222684 10648612381 21297224762 42594449524