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42705554801 = 7131924699569
BaseRepresentation
bin100111110001011100…
…110000110101110001
311002020020000221221212
4213301130300311301
51144430110223201
631341344125505
73041166140450
oct476134606561
9132206027855
1042705554801
1117125199448
12833a006895
134047762470
1420d1a48b97
15119e2b7abb
hex9f1730d71

42705554801 has 16 divisors (see below), whose sum is σ = 55327036800. Its totient is φ = 32010640128.

The previous prime is 42705554789. The next prime is 42705554807. The reversal of 42705554801 is 10845550724.

It is a cyclic number.

It is not a de Polignac number, because 42705554801 - 26 = 42705554737 is a prime.

It is a super-2 number, since 2×427055548012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42705554807) 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 15 ways as a sum of consecutive naturals, for example, 12348056 + ... + 12351513.

It is an arithmetic number, because the mean of its divisors is an integer number (3457939800).

Almost surely, 242705554801 is an apocalyptic number.

It is an amenable number.

42705554801 is a deficient number, since it is larger than the sum of its proper divisors (12621481999).

42705554801 is a wasteful number, since it uses less digits than its factorization.

42705554801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24699608.

The product of its (nonzero) digits is 224000, while the sum is 41.

The spelling of 42705554801 in words is "forty-two billion, seven hundred five million, five hundred fifty-four thousand, eight hundred one".

Divisors: 1 7 13 19 91 133 247 1729 24699569 172896983 321094397 469291811 2247660779 3285042677 6100793543 42705554801