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42537000024 = 233217337103123
BaseRepresentation
bin100111100111011001…
…110001110001011000
311001210110212111021100
4213213121301301120
51144103433000044
631312523311400
73034051351221
oct474731616130
9131713774240
1042537000024
1117049033782
1282b167b560
13401b867bcc
1420b74d0248
15118e5c0869
hex9e7671c58

42537000024 has 96 divisors (see below), whose sum is σ = 122344251120. Its totient is φ = 13305212928.

The previous prime is 42537000001. The next prime is 42537000043. The reversal of 42537000024 is 42000073524.

It is a Cunningham number, because it is equal to 2062452-1.

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 23 ways as a sum of consecutive naturals, for example, 360927 + ... + 464049.

Almost surely, 242537000024 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 42537000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61172125560).

42537000024 is an abundant number, since it is smaller than the sum of its proper divisors (79807251096).

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

42537000024 is a wasteful number, since it uses less digits than its factorization.

42537000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103489 (or 103482 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

Adding to 42537000024 its reverse (42000073524), we get a palindrome (84537073548).

The spelling of 42537000024 in words is "forty-two billion, five hundred thirty-seven million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 337 408 612 674 1011 1224 1348 2022 2696 3033 4044 5729 6066 8088 11458 12132 17187 22916 24264 34374 45832 51561 68748 103122 103123 137496 206244 206246 309369 412488 412492 618738 824984 928107 1237476 1753091 1856214 2474952 3506182 3712428 5259273 7012364 7424856 10518546 14024728 15777819 21037092 31555638 34752451 42074184 63111276 69504902 104257353 126222552 139009804 208514706 278019608 312772059 417029412 590791667 625544118 834058824 1181583334 1251088236 1772375001 2363166668 2502176472 3544750002 4726333336 5317125003 7089500004 10634250006 14179000008 21268500012 42537000024