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46554422445564 = 223112912161552363
BaseRepresentation
bin10101001010111010010111…
…10100000000010111111100
320002211120002202002221220020
422211131023310000113330
522100221424121224224
6243002450104252140
712543305662431405
oct1245351364002774
9202746082087806
1046554422445564
111391968a887860
12527a685a71050
131cc90a8b06627
14b6d3632da9ac
1555aec254bc79
hex2a574bd005fc

46554422445564 has 48 divisors (see below), whose sum is σ = 122588447829120. Its totient is φ = 13620938645440.

The previous prime is 46554422445521. The next prime is 46554422445569.

46554422445564 is nontrivially palindromic in base 10.

46554422445564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46554422445498 and 46554422445507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46554422445569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6080772354 + ... + 6080780009.

It is an arithmetic number, because the mean of its divisors is an integer number (2553925996440).

Almost surely, 246554422445564 is an apocalyptic number.

46554422445564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46554422445564 is an abundant number, since it is smaller than the sum of its proper divisors (76034025383556).

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

46554422445564 is a wasteful number, since it uses less digits than its factorization.

46554422445564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161552410 (or 12161552408 counting only the distinct ones).

The product of its digits is 368640000, while the sum is 60.

The spelling of 46554422445564 in words is "forty-six trillion, five hundred fifty-four billion, four hundred twenty-two million, four hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 12161552363 24323104726 36484657089 48646209452 72969314178 133777075993 145938628356 267554151986 352685018527 401331227979 535108303972 705370037054 802662455958 1058055055581 1410740074108 1605324911916 2116110111162 3879535203797 4232220222324 7759070407594 11638605611391 15518140815188 23277211222782 46554422445564