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42450013452 = 22371175760689
BaseRepresentation
bin100111100010001101…
…111100110100001100
311001120102012010010110
4213202031330310030
51143414200412302
631300135040020
73031644106110
oct474215746414
9131512163113
1042450013452
1117003a20450
128288510010
13400682c772
1420a9b29740
151186b3bb6c
hex9e237cd0c

42450013452 has 96 divisors (see below), whose sum is σ = 123656117760. Its totient is φ = 11011230720.

The previous prime is 42450013447. The next prime is 42450013453. The reversal of 42450013452 is 25431005424.

42450013452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42450013453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669124 + ... + 729812.

It is an arithmetic number, because the mean of its divisors is an integer number (1288084560).

Almost surely, 242450013452 is an apocalyptic number.

42450013452 is a gapful number since it is divisible by the number (42) 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 42450013452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61828058880).

42450013452 is an abundant number, since it is smaller than the sum of its proper divisors (81206104308).

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

42450013452 is a wasteful number, since it uses less digits than its factorization.

42450013452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61471 (or 61469 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42450013452 its reverse (25431005424), we get a palindrome (67881018876).

The spelling of 42450013452 in words is "forty-two billion, four hundred fifty million, thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 757 924 1514 2271 3028 4542 5299 8327 9084 10598 15897 16654 21196 24981 31794 33308 49962 58289 60689 63588 99924 116578 121378 174867 182067 233156 242756 349734 364134 424823 667579 699468 728268 849646 1274469 1335158 1699292 2002737 2548938 2670316 4005474 4673053 5097876 8010948 9346106 14019159 18692212 28038318 45941573 56076636 91883146 137824719 183766292 275649438 321591011 505357303 551298876 643182022 964773033 1010714606 1286364044 1516071909 1929546066 2021429212 3032143818 3537501121 3859092132 6064287636 7075002242 10612503363 14150004484 21225006726 42450013452