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42452006124 = 223111394095657
BaseRepresentation
bin100111100010010101…
…100011010011101100
311001120112221100120010
4213202111203103230
51143420203143444
631300245453220
73032000045463
oct474225432354
9131515840503
1042452006124
1117005061590
128289111210
134007079768
1420aa0c79da
151186dd22b9
hex9e25634ec

42452006124 has 96 divisors (see below), whose sum is σ = 109122451200. Its totient is φ = 12738216960.

The previous prime is 42452006119. The next prime is 42452006141. The reversal of 42452006124 is 42160025424.

42452006124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42452006091 and 42452006100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7501504 + ... + 7507160.

It is an arithmetic number, because the mean of its divisors is an integer number (1136692200).

Almost surely, 242452006124 is an apocalyptic number.

42452006124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42452006124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54561225600).

42452006124 is an abundant number, since it is smaller than the sum of its proper divisors (66670445076).

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

42452006124 is a wasteful number, since it uses less digits than its factorization.

42452006124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6223 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 42452006124 in words is "forty-two billion, four hundred fifty-two million, six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 409 417 556 818 834 1227 1529 1636 1668 2454 3058 4499 4587 4908 5657 6116 8998 9174 11314 13497 16971 17996 18348 22628 26994 33942 53988 56851 62227 67884 113702 124454 170553 186681 227404 248908 341106 373362 625361 682212 746724 786323 1250722 1572646 1876083 2313713 2358969 2501444 3145292 3752166 4627426 4717938 6941139 7504332 8649553 9254852 9435876 13882278 17299106 25450843 25948659 27764556 34598212 50901686 51897318 76352529 101803372 103794636 152705058 305410116 321606107 643212214 964818321 1286424428 1929636642 3537667177 3859273284 7075334354 10613001531 14150668708 21226003062 42452006124