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46407029823 = 32711313213947
BaseRepresentation
bin101011001110000100…
…110001010000111111
311102210012000101010100
4223032010301100333
51230020144423243
633152531412143
73232003150020
oct531604612077
9142705011110
1046407029823
1118754616410
128bb1754053
1344b758157b
142363490c47
1513192210d3
hexace13143f

46407029823 has 48 divisors (see below), whose sum is σ = 83840230656. Its totient is φ = 24030414720.

The previous prime is 46407029797. The next prime is 46407029839. The reversal of 46407029823 is 32892070464.

46407029823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 46407029823 - 213 = 46407021631 is a prime.

It is a super-2 number, since 2×464070298232 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46407029863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109936 + ... + 323882.

It is an arithmetic number, because the mean of its divisors is an integer number (1746671472).

Almost surely, 246407029823 is an apocalyptic number.

46407029823 is a deficient number, since it is larger than the sum of its proper divisors (37433200833).

46407029823 is a wasteful number, since it uses less digits than its factorization.

46407029823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214284 (or 214281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46407029823 in words is "forty-six billion, four hundred seven million, twenty-nine thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 313 693 939 2191 2817 3443 6573 10329 19719 24101 30987 72303 213947 216909 641841 1497629 1925523 2353417 4492887 7060251 13478661 16473919 21180753 49421757 66965411 148265271 200896233 468757877 602688699 736619521 1406273631 2209858563 4218820893 5156336647 6629575689 15469009941 46407029823