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42833879082 = 2341770921937
BaseRepresentation
bin100111111001000110…
…010010000000101010
311002120011111111210000
4213321012102000222
51200210433112312
631402210403430
73044314651641
oct477106220052
9132504444700
1042833879082
1117190676375
128374b90576
1340682122a7
142104ad0358
1511aa6b4adc
hex9f919202a

42833879082 has 80 divisors (see below), whose sum is σ = 101773453320. Its totient is φ = 13418514432.

The previous prime is 42833879071. The next prime is 42833879083. The reversal of 42833879082 is 28097833824.

It can be written as a sum of positive squares in 4 ways, for example, as 27695283561 + 15138595521 = 166419^2 + 123039^2 .

It is a super-2 number, since 2×428338790822 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42833879083) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1941618 + ... + 1963554.

Almost surely, 242833879082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42833879082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50886726660).

42833879082 is an abundant number, since it is smaller than the sum of its proper divisors (58939574238).

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

42833879082 is a wasteful number, since it uses less digits than its factorization.

42833879082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22677 (or 22668 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 42833879082 in words is "forty-two billion, eight hundred thirty-three million, eight hundred seventy-nine thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 709 918 1377 1418 2127 2754 4254 6381 12053 12762 19143 21937 24106 36159 38286 43874 57429 65811 72318 108477 114858 131622 197433 216954 325431 372929 394866 592299 650862 745858 976293 1118787 1184598 1776897 1952586 2237574 3356361 3553794 6712722 10069083 15553333 20138166 30207249 31106666 46659999 60414498 93319998 139979997 264406661 279959994 419939991 528813322 793219983 839879982 1259819973 1586439966 2379659949 2519639946 4759319898 7138979847 14277959694 21416939541 42833879082