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46512642401 is a prime number
BaseRepresentation
bin101011010100010111…
…101001100101100001
311110001112202001100022
4223110113221211201
51230224214024101
633211223203225
73234424636301
oct532427514541
9143045661308
1046512642401
11187a91a0735
129020ba6515
13450340b914
142373503601
151323633a1b
hexad45e9961

46512642401 has 2 divisors, whose sum is σ = 46512642402. Its totient is φ = 46512642400.

The previous prime is 46512642373. The next prime is 46512642461. The reversal of 46512642401 is 10424621564.

46512642401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41296336225 + 5216306176 = 203215^2 + 72224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46512642401 is a prime.

It is not a weakly prime, because it can be changed into another prime (46512642461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23256321200 + 23256321201.

It is an arithmetic number, because the mean of its divisors is an integer number (23256321201).

Almost surely, 246512642401 is an apocalyptic number.

It is an amenable number.

46512642401 is a deficient number, since it is larger than the sum of its proper divisors (1).

46512642401 is an equidigital number, since it uses as much as digits as its factorization.

46512642401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 46512642401 in words is "forty-six billion, five hundred twelve million, six hundred forty-two thousand, four hundred one".