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42226504832 = 274124432
BaseRepresentation
bin100111010100111001…
…010101010010000000
311000222211121200221102
4213110321111102000
51142434441123312
631222032313532
73023261240351
oct472471252200
9130884550842
1042226504832
11169a9841086
1282256a28a8
133c9c434045
142088187d28
1511721dbec2
hex9d4e55480

42226504832 has 72 divisors (see below), whose sum is σ = 86420019945. Its totient is φ = 20551797760.

The previous prime is 42226504823. The next prime is 42226504861. The reversal of 42226504832 is 23840562224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30156406336 + 12070098496 = 173656^2 + 109864^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=145304.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95319203 + ... + 95319645.

Almost surely, 242226504832 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 42226504832

42226504832 is an abundant number, since it is smaller than the sum of its proper divisors (44193515113).

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

42226504832 is an frugal number, since it uses more digits than its factorization.

42226504832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 42226504832 in words is "forty-two billion, two hundred twenty-six million, five hundred four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 443 656 886 1312 1681 1772 2624 3362 3544 5248 6724 7088 13448 14176 18163 26896 28352 36326 53792 56704 72652 107584 145304 196249 215168 290608 392498 581216 744683 784996 1162432 1489366 1569992 2324864 2978732 3139984 5957464 6279968 8046209 11914928 12559936 16092418 23829856 25119872 32184836 47659712 64369672 95319424 128739344 257478688 329894569 514957376 659789138 1029914752 1319578276 2639156552 5278313104 10556626208 21113252416 42226504832