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42332522052 = 223171672335333
BaseRepresentation
bin100111011011001101…
…110000011001000100
311001021020002221020010
4213123031300121010
51143144111201202
631240340510220
73026016333432
oct473315603104
9131236087203
1042332522052
1116a53672417
1282550ab370
133cb83a3622
1420982a3d52
15117b67e76c
hex9db370644

42332522052 has 96 divisors (see below), whose sum is σ = 105683864832. Its totient is φ = 13142142976.

The previous prime is 42332522027. The next prime is 42332522053. The reversal of 42332522052 is 25022523324.

It is not an unprimeable number, because it can be changed into a prime (42332522053) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7935178 + ... + 7940510.

It is an arithmetic number, because the mean of its divisors is an integer number (1100873592).

Almost surely, 242332522052 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 42332522052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52841932416).

42332522052 is an abundant number, since it is smaller than the sum of its proper divisors (63351342780).

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

42332522052 is a wasteful number, since it uses less digits than its factorization.

42332522052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 42332522052 in words is "forty-two billion, three hundred thirty-two million, five hundred twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 167 204 233 334 466 501 668 699 932 1002 1398 2004 2796 2839 3961 5333 5678 7922 8517 10666 11356 11883 15844 15999 17034 21332 23766 31998 34068 38911 47532 63996 77822 90661 116733 155644 181322 233466 271983 362644 466932 543966 661487 890611 1087932 1242589 1322974 1781222 1984461 2485178 2645948 2671833 3562444 3727767 3968922 4970356 5343666 7455534 7937844 10687332 14911068 15140387 21124013 30280774 42248026 45421161 60561548 63372039 84496052 90842322 126744078 181684644 207512363 253488156 415024726 622537089 830049452 1245074178 2490148356 3527710171 7055420342 10583130513 14110840684 21166261026 42332522052