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42512243292 = 22322385959771
BaseRepresentation
bin100111100101111011…
…010101101001011100
311001201202021201102100
4213211323111221130
51144031113241132
631310240525100
73033331051161
oct474573255134
9131652251370
1042512243292
1117036064672
1282a5320790
1340166aa65c
1420b40c8068
15118c33037c
hex9e5ed5a5c

42512243292 has 72 divisors (see below), whose sum is σ = 112266161280. Its totient is φ = 13538622240.

The previous prime is 42512243261. The next prime is 42512243299. The reversal of 42512243292 is 29234221524.

42512243292 is a `hidden beast` number, since 4 + 2 + 512 + 24 + 32 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42512243299) 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, 681367 + ... + 741137.

It is an arithmetic number, because the mean of its divisors is an integer number (1559252240).

Almost surely, 242512243292 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 42512243292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56133080640).

42512243292 is an abundant number, since it is smaller than the sum of its proper divisors (69753917988).

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

42512243292 is a wasteful number, since it uses less digits than its factorization.

42512243292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60663 (or 60658 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The spelling of 42512243292 in words is "forty-two billion, five hundred twelve million, two hundred forty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 859 1718 2577 3436 5154 7731 10308 15462 19757 30924 39514 59271 59771 79028 118542 119542 177813 179313 237084 239084 355626 358626 537939 711252 717252 1075878 1374733 2151756 2749466 4124199 5498932 8248398 12372597 16496796 24745194 49490388 51343289 102686578 154029867 205373156 308059734 462089601 616119468 924179202 1180895647 1848358404 2361791294 3542686941 4723582588 7085373882 10628060823 14170747764 21256121646 42512243292