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464542717114056 = 23372765135220917
BaseRepresentation
bin110100110011111111100011…
…1101000101111011011001000
32020220210211221200100021120010
41221213333013220233123020
5441342031441040122211
64323555551134431520
7166564050405266640
oct15147770750573310
92226724850307503
10464542717114056
11125021507230909
12441275a80625a0
1316c29261cc1389
14829ddb78bb520
1538a8c4eabc4a6
hex1a67fc7a2f6c8

464542717114056 has 32 divisors (see below), whose sum is σ = 1327264906040640. Its totient is φ = 132726490603968.

The previous prime is 464542717114051. The next prime is 464542717114159. The reversal of 464542717114056 is 650411717245464.

It is a happy number.

It is a super-3 number, since 3×4645427171140563 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 464542717113987 and 464542717114005.

It is not an unprimeable number, because it can be changed into a prime (464542717114051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1382567610291 + ... + 1382567610626.

It is an arithmetic number, because the mean of its divisors is an integer number (41477028313770).

Almost surely, 2464542717114056 is an apocalyptic number.

It is an amenable number.

464542717114056 is an abundant number, since it is smaller than the sum of its proper divisors (862722188926584).

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

464542717114056 is a wasteful number, since it uses less digits than its factorization.

464542717114056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765135220933 (or 2765135220929 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 464542717114056 in words is "four hundred sixty-four trillion, five hundred forty-two billion, seven hundred seventeen million, one hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2765135220917 5530270441834 8295405662751 11060540883668 16590811325502 19355946546419 22121081767336 33181622651004 38711893092838 58067839639257 66363245302008 77423786185676 116135679278514 154847572371352 232271358557028 464542717114056