Search a number
-
+
42129761996 = 22761181136277
BaseRepresentation
bin100111001111001000…
…010010011011001100
311000202002120122201102
4213033020102123030
51142240204340441
631204255002232
73021005032310
oct471710223314
9130662518642
1042129761996
111695a174823
1281b9209378
133c85390c6a
1420793a3b40
15116897c69b
hex9cf2126cc

42129761996 has 48 divisors (see below), whose sum is σ = 86114613312. Its totient is φ = 17661369600.

The previous prime is 42129761983. The next prime is 42129762013. The reversal of 42129761996 is 69916792124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241010 + ... + 377286.

It is an arithmetic number, because the mean of its divisors is an integer number (1794054444).

Almost surely, 242129761996 is an apocalyptic number.

It is an amenable number.

42129761996 is an abundant number, since it is smaller than the sum of its proper divisors (43984851316).

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

42129761996 is a wasteful number, since it uses less digits than its factorization.

42129761996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136530 (or 136528 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 56.

The spelling of 42129761996 in words is "forty-two billion, one hundred twenty-nine million, seven hundred sixty-one thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 61 122 181 244 362 427 724 854 1267 1708 2534 5068 11041 22082 44164 77287 136277 154574 272554 309148 545108 953939 1907878 3815756 8312897 16625794 24666137 33251588 49332274 58190279 98664548 116380558 172662959 232761116 345325918 690651836 1504634357 3009268714 6018537428 10532440499 21064880998 42129761996