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42202394496 = 27344070447
BaseRepresentation
bin100111010011011101…
…010110111110000000
311000221011020202210000
4213103131112332000
51142412303110441
631215411440000
73022546302003
oct472335267600
9130834222700
1042202394496
1116997173689
1282195b6000
133c97441a82
142084cad53a
1511700282b6
hex9d3756f80

42202394496 has 80 divisors (see below), whose sum is σ = 125593673040. Its totient is φ = 14067461376.

The previous prime is 42202394467. The next prime is 42202394539. The reversal of 42202394496 is 69449320224.

It is a super-2 number, since 2×422023944962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2024856 + ... + 2045591.

It is an arithmetic number, because the mean of its divisors is an integer number (1569920913).

Almost surely, 242202394496 is an apocalyptic number.

It is an amenable number.

42202394496 is an abundant number, since it is smaller than the sum of its proper divisors (83391278544).

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

42202394496 is an equidigital number, since it uses as much as digits as its factorization.

42202394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070473 (or 4070452 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 42202394496 in words is "forty-two billion, two hundred two million, three hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 4070447 8140894 12211341 16281788 24422682 32563576 36634023 48845364 65127152 73268046 97690728 109902069 130254304 146536092 195381456 219804138 260508608 293072184 329706207 390762912 439608276 521017216 586144368 659412414 781525824 879216552 1172288736 1318824828 1563051648 1758433104 2344577472 2637649656 3516866208 4689154944 5275299312 7033732416 10550598624 14067464832 21101197248 42202394496