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45742075542 = 235172325673
BaseRepresentation
bin101010100110011100…
…001010111010010110
311101001211210012100000
4222212130022322112
51222134432404132
633002535232130
73206350140552
oct524634127226
9141054705300
1045742075542
1118443233419
128a46b18646
13440c8929b7
1422dd03a862
1512cab7287c
hexaa670ae96

45742075542 has 72 divisors (see below), whose sum is σ = 109180254456. Its totient is φ = 14350411008.

The previous prime is 45742075529. The next prime is 45742075543. The reversal of 45742075542 is 24557024754.

45742075542 is a `hidden beast` number, since 4 + 5 + 74 + 20 + 7 + 554 + 2 = 666.

45742075542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45742075543) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22383 + ... + 303290.

It is an arithmetic number, because the mean of its divisors is an integer number (1516392423).

Almost surely, 245742075542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742075542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54590127228).

45742075542 is an abundant number, since it is smaller than the sum of its proper divisors (63438178914).

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

45742075542 is a wasteful number, since it uses less digits than its factorization.

45742075542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325724 (or 325695 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 45742075542 in words is "forty-five billion, seven hundred forty-two million, seventy-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 289 306 459 486 578 867 918 1377 1734 2601 2754 4131 5202 7803 8262 15606 23409 46818 70227 140454 325673 651346 977019 1954038 2931057 5536441 5862114 8793171 11072882 16609323 17586342 26379513 33218646 49827969 52759026 79138539 94119497 99655938 149483907 158277078 188238994 282358491 298967814 448451721 564716982 847075473 896903442 1345355163 1694150946 2541226419 2690710326 5082452838 7623679257 15247358514 22871037771 45742075542