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42319159524 = 22325322179853
BaseRepresentation
bin100111011010011010…
…110010000011100100
311001020021222001021200
4213122122302003210
51143132201101044
631235142242500
73025464630555
oct473232620344
9131207861250
1042319159524
1116a47075a04
128250726430
133cb56a53c5
1420965c632c
15117a3e0369
hex9da6b20e4

42319159524 has 36 divisors (see below), whose sum is σ = 108991802556. Its totient is φ = 13840227648.

The previous prime is 42319159523. The next prime is 42319159579. The reversal of 42319159524 is 42595191324.

It is a happy number.

42319159524 is a `hidden beast` number, since 4 + 2 + 31 + 9 + 1 + 595 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17424000000 + 24895159524 = 132000^2 + 157782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×423191595242 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42319159524.

It is not an unprimeable number, because it can be changed into a prime (42319159523) 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 11 ways as a sum of consecutive naturals, for example, 11088019 + ... + 11091834.

It is an arithmetic number, because the mean of its divisors is an integer number (3027550071).

Almost surely, 242319159524 is an apocalyptic number.

It is an amenable number.

42319159524 is an abundant number, since it is smaller than the sum of its proper divisors (66672643032).

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

42319159524 is a wasteful number, since it uses less digits than its factorization.

42319159524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22179916 (or 22179911 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 42319159524 in words is "forty-two billion, three hundred nineteen million, one hundred fifty-nine thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 22179853 44359706 66539559 88719412 133079118 199618677 266158236 399237354 798474708 1175532209 2351064418 3526596627 4702128836 7053193254 10579789881 14106386508 21159579762 42319159524