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46141014164 = 22714911059687
BaseRepresentation
bin101010111110001110…
…000000000010010100
311102002122110101020112
4222332032000002110
51223444044423124
633110310022152
73222263102120
oct527616000224
9142078411215
1046141014164
1118628443963
128b38647958
13447442215b
14233a006580
151300bc690e
hexabe380094

46141014164 has 24 divisors (see below), whose sum is σ = 92901379200. Its totient is φ = 19642002336.

The previous prime is 46141014109. The next prime is 46141014197.

46141014164 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×461410141643 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46141014164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5525672 + ... + 5534015.

It is an arithmetic number, because the mean of its divisors is an integer number (3870890800).

Almost surely, 246141014164 is an apocalyptic number.

It is an amenable number.

46141014164 is an abundant number, since it is smaller than the sum of its proper divisors (46760365036).

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

46141014164 is a wasteful number, since it uses less digits than its factorization.

46141014164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11059847 (or 11059845 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

It can be divided in two parts, 461410 and 14164, that added together give a palindrome (475574).

The spelling of 46141014164 in words is "forty-six billion, one hundred forty-one million, fourteen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 149 298 596 1043 2086 4172 11059687 22119374 44238748 77417809 154835618 309671236 1647893363 3295786726 6591573452 11535253541 23070507082 46141014164