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245601106542 = 232111240409629
BaseRepresentation
bin1110010010111011110…
…1110111101001101110
3212110221100210220201100
43210232331313221232
513010442340402132
6304454432023530
723513136650331
oct3445675675156
9773840726640
10245601106542
1195182470510
123b723391ba6
131a21092575c
14bc5c504618
1565c6a4d37c
hex392ef77a6e

245601106542 has 24 divisors (see below), whose sum is σ = 580511706840. Its totient is φ = 74424577680.

The previous prime is 245601106529. The next prime is 245601106561.

245601106542 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 0 + 1 + 106 + 542 = 666.

245601106542 is nontrivially palindromic in base 10.

245601106542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245601106497 and 245601106506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620204617 + ... + 620205012.

It is an arithmetic number, because the mean of its divisors is an integer number (24187987785).

Almost surely, 2245601106542 is an apocalyptic number.

245601106542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

245601106542 is an abundant number, since it is smaller than the sum of its proper divisors (334910600298).

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

245601106542 is a wasteful number, since it uses less digits than its factorization.

245601106542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240409648 (or 1240409645 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 245601106542 in words is "two hundred forty-five billion, six hundred one million, one hundred six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1240409629 2480819258 3721228887 7442457774 11163686661 13644505919 22327373322 27289011838 40933517757 81867035514 122800553271 245601106542