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42012235512 = 23321359974933
BaseRepresentation
bin100111001000000111…
…111101011011111000
311000102220102200200200
4213020013331123320
51142020113014022
631144500002200
73015050052432
oct471007753370
9130386380620
1042012235512
11168a98a23a5
128185990360
133c66c21b70
14206792d652
15115d4b4bac
hex9c81fd6f8

42012235512 has 96 divisors (see below), whose sum is σ = 122741892000. Its totient is φ = 12905088768.

The previous prime is 42012235487. The next prime is 42012235513. The reversal of 42012235512 is 21553221024.

42012235512 is a `hidden beast` number, since 4 + 20 + 122 + 3 + 5 + 512 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012235513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523198 + ... + 598130.

It is an arithmetic number, because the mean of its divisors is an integer number (1278561375).

Almost surely, 242012235512 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 42012235512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61370946000).

42012235512 is an abundant number, since it is smaller than the sum of its proper divisors (80729656488).

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

42012235512 is a wasteful number, since it uses less digits than its factorization.

42012235512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75557 (or 75550 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42012235512 its reverse (21553221024), we get a palindrome (63565456536).

The spelling of 42012235512 in words is "forty-two billion, twelve million, two hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 599 936 1198 1797 2396 3594 4792 5391 7188 7787 10782 14376 15574 21564 23361 31148 43128 46722 62296 70083 74933 93444 140166 149866 186888 224799 280332 299732 449598 560664 599464 674397 899196 974129 1348794 1798392 1948258 2697588 2922387 3896516 5395176 5844774 7793032 8767161 11689548 17534322 23379096 35068644 44884867 70137288 89769734 134654601 179539468 269309202 359078936 403963803 538618404 583503271 807927606 1077236808 1167006542 1615855212 1750509813 2334013084 3231710424 3501019626 4668026168 5251529439 7002039252 10503058878 14004078504 21006117756 42012235512