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46106072127 = 34569210767
BaseRepresentation
bin101010111100001000…
…101101010000111111
311102000012201010210000
4222330020231100333
51223411123302002
633103021045343
73221360101233
oct527410552077
9142005633700
1046106072127
111860a748445
128b289b6853
13446a1098ab
14233550c5c3
1512ecac361c
hexabc22d43f

46106072127 has 10 divisors (see below), whose sum is σ = 68874502928. Its totient is φ = 30737381364.

The previous prime is 46106072101. The next prime is 46106072149. The reversal of 46106072127 is 72127060164.

46106072127 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 607 + 21 + 27 = 666.

It is not a de Polignac number, because 46106072127 - 210 = 46106071103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46106072091 and 46106072100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46106076127) 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 9 ways as a sum of consecutive naturals, for example, 284605303 + ... + 284605464.

Almost surely, 246106072127 is an apocalyptic number.

46106072127 is a deficient number, since it is larger than the sum of its proper divisors (22768430801).

46106072127 is an equidigital number, since it uses as much as digits as its factorization.

46106072127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569210779 (or 569210770 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 46106072127 in words is "forty-six billion, one hundred six million, seventy-two thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 81 569210767 1707632301 5122896903 15368690709 46106072127