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46085542677 = 35469140429
BaseRepresentation
bin101010111010111010…
…011001001100010101
311101221210002010200000
4222322322121030111
51223340344331202
633101005041513
73221020435506
oct527272311425
9141853063600
1046085542677
11185aa0a6359
128b21b56299
134465a9c4a5
1423328c6bad
1512eadba91c
hexabae99315

46085542677 has 24 divisors (see below), whose sum is σ = 69049911840. Its totient is φ = 30716385840.

The previous prime is 46085542651. The next prime is 46085542729. The reversal of 46085542677 is 77624558064.

It is a happy number.

46085542677 is a `hidden beast` number, since 4 + 60 + 8 + 554 + 26 + 7 + 7 = 666.

It is not a de Polignac number, because 46085542677 - 211 = 46085540629 is a prime.

It is a super-4 number, since 4×460855426774 (a number of 44 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46085542177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119699 + ... + 1160127.

It is an arithmetic number, because the mean of its divisors is an integer number (2877079660).

Almost surely, 246085542677 is an apocalyptic number.

It is an amenable number.

46085542677 is a deficient number, since it is larger than the sum of its proper divisors (22964369163).

46085542677 is an equidigital number, since it uses as much as digits as its factorization.

46085542677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45135 (or 45123 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 46085542677 in words is "forty-six billion, eighty-five million, five hundred forty-two thousand, six hundred seventy-seven".

Divisors: 1 3 9 27 81 243 4691 14073 40429 42219 121287 126657 363861 379971 1091583 1139913 3274749 9824247 189652439 568957317 1706871951 5120615853 15361847559 46085542677