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42226959488 = 2771912719531
BaseRepresentation
bin100111010100111011…
…000100010010000000
311000222212110210121112
4213110323010102000
51142440100200423
631222050142452
73023265143030
oct472473042200
9130885423545
1042226959488
11169aa02172a
128225881a28
133c9c562c7c
1420882658c0
15117227ba78
hex9d4ec4480

42226959488 has 128 divisors (see below), whose sum is σ = 102003916800. Its totient is φ = 17008911360.

The previous prime is 42226959451. The next prime is 42226959497. The reversal of 42226959488 is 88495962224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×422269594882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2152283 + ... + 2171813.

It is an arithmetic number, because the mean of its divisors is an integer number (796905600).

Almost surely, 242226959488 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 42226959488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51001958400).

42226959488 is an abundant number, since it is smaller than the sum of its proper divisors (59776957312).

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

42226959488 is a wasteful number, since it uses less digits than its factorization.

42226959488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19698 (or 19686 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 59.

The spelling of 42226959488 in words is "forty-two billion, two hundred twenty-six million, nine hundred fifty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 127 128 133 152 224 254 266 304 448 508 532 608 889 896 1016 1064 1216 1778 2032 2128 2413 2432 3556 4064 4256 4826 7112 8128 8512 9652 14224 16256 16891 17024 19304 19531 28448 33782 38608 39062 56896 67564 77216 78124 113792 135128 136717 154432 156248 270256 273434 308864 312496 371089 540512 546868 624992 742178 1081024 1093736 1249984 1484356 2162048 2187472 2480437 2499968 2597623 2968712 4374944 4960874 5195246 5937424 8749888 9921748 10390492 11874848 17363059 17499776 19843496 20780984 23749696 34726118 39686992 41561968 47128303 47499392 69452236 79373984 83123936 94256606 138904472 158747968 166247872 188513212 277808944 317495936 329898121 332495744 377026424 555617888 659796242 754052848 1111235776 1319592484 1508105696 2222471552 2639184968 3016211392 5278369936 6032422784 10556739872 21113479744 42226959488