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42445937568 = 253743595081
BaseRepresentation
bin100111100001111110…
…011001101110100000
311001120010112001001210
4213201332121232200
51143412130000233
631255511430120
73031564342056
oct474176315640
9131503461053
1042445937568
1117001697151
128287085340
134005a334b8
1420a93881d6
1511865d4163
hex9e1f99ba0

42445937568 has 48 divisors (see below), whose sum is σ = 111570734016. Its totient is φ = 14129579520.

The previous prime is 42445937563. The next prime is 42445937579. The reversal of 42445937568 is 86573954424.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (42445937563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226213 + ... + 368868.

It is an arithmetic number, because the mean of its divisors is an integer number (2324390292).

Almost surely, 242445937568 is an apocalyptic number.

42445937568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42445937568 is an abundant number, since it is smaller than the sum of its proper divisors (69124796448).

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

42445937568 is a wasteful number, since it uses less digits than its factorization.

42445937568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595837 (or 595829 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 57.

The spelling of 42445937568 in words is "forty-two billion, four hundred forty-five million, nine hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 743 1486 2229 2972 4458 5944 8916 11888 17832 23776 35664 71328 595081 1190162 1785243 2380324 3570486 4760648 7140972 9521296 14281944 19042592 28563888 57127776 442145183 884290366 1326435549 1768580732 2652871098 3537161464 5305742196 7074322928 10611484392 14148645856 21222968784 42445937568