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45344355471 = 3319377311257
BaseRepresentation
bin101010001110101110…
…111111010010001111
311100001010101220222000
4222032232333102033
51220331123333341
632455250523343
73163450443042
oct521656772217
9140033356860
1045344355471
1118259785448
128955896553
13437836c08c
1422a22aac59
1512a5cae8b6
hexa8ebbf48f

45344355471 has 32 divisors (see below), whose sum is σ = 67618249920. Its totient is φ = 30031368192.

The previous prime is 45344355467. The next prime is 45344355479. The reversal of 45344355471 is 17455344354.

45344355471 is a `hidden beast` number, since 4 + 53 + 4 + 43 + 554 + 7 + 1 = 666.

It is not a de Polignac number, because 45344355471 - 22 = 45344355467 is a prime.

It is a super-3 number, since 3×453443554713 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45344355479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4022475 + ... + 4033731.

It is an arithmetic number, because the mean of its divisors is an integer number (2113070310).

Almost surely, 245344355471 is an apocalyptic number.

45344355471 is a deficient number, since it is larger than the sum of its proper divisors (22273894449).

45344355471 is a wasteful number, since it uses less digits than its factorization.

45344355471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12226 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

The spelling of 45344355471 in words is "forty-five billion, three hundred forty-four million, three hundred fifty-five thousand, four hundred seventy-one".

Divisors: 1 3 9 27 193 579 773 1737 2319 5211 6957 11257 20871 33771 101313 149189 303939 447567 1342701 2172601 4028103 6517803 8701661 19553409 26104983 58660227 78314949 234944847 1679420573 5038261719 15114785157 45344355471