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42109567776 = 2532201172707
BaseRepresentation
bin100111001101111011…
…010000001100100000
311000200200120200110100
4213031323100030200
51142220022132101
631202254102400
73020341264113
oct471573201440
9130620520410
1042109567776
1116949831591
1281b24aaa00
133c81140313
14207682857a
151166cdde86
hex9cded0320

42109567776 has 72 divisors (see below), whose sum is σ = 119810278224. Its totient is φ = 14029349760.

The previous prime is 42109567771. The next prime is 42109567793. The reversal of 42109567776 is 67776590124.

42109567776 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 9 + 567 + 7 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42109567771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 542815 + ... + 615521.

It is an arithmetic number, because the mean of its divisors is an integer number (1664031642).

Almost surely, 242109567776 is an apocalyptic number.

It is an amenable number.

42109567776 is an abundant number, since it is smaller than the sum of its proper divisors (77700710448).

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

42109567776 is a wasteful number, since it uses less digits than its factorization.

42109567776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74734 (or 74723 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 42109567776 in words is "forty-two billion, one hundred nine million, five hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2011 4022 6033 8044 12066 16088 18099 24132 32176 36198 48264 64352 72396 72707 96528 144792 145414 193056 218121 289584 290828 436242 579168 581656 654363 872484 1163312 1308726 1744968 2326624 2617452 3489936 5234904 6979872 10469808 20939616 146213777 292427554 438641331 584855108 877282662 1169710216 1315923993 1754565324 2339420432 2631847986 3509130648 4678840864 5263695972 7018261296 10527391944 14036522592 21054783888 42109567776