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46893469401 = 34240612
BaseRepresentation
bin101011101011000100…
…011000111011011001
311111001002100001210000
4223223010120323121
51232014212010101
633313105443213
73250030625142
oct535304307331
9144032301700
1046893469401
1118984160699
129108640509
13456429933c
1423abd16ac9
151346cab486
hexaeb118ed9

46893469401 has 15 divisors (see below), whose sum is σ = 70053649743. Its totient is φ = 31261013640.

The previous prime is 46893469393. The next prime is 46893469433. The reversal of 46893469401 is 10496439864.

It is a happy number.

The square root of 46893469401 is 216549.

It is a perfect power (a square), and thus also a powerful number.

46893469401 is a `hidden beast` number, since 468 + 93 + 4 + 6 + 94 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46613241801 + 280227600 = 215901^2 + 16740^2 .

It is not a de Polignac number, because 46893469401 - 23 = 46893469393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46893469451) 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 14 ways as a sum of consecutive naturals, for example, 1936911 + ... + 1960971.

Almost surely, 246893469401 is an apocalyptic number.

46893469401 is the 216549-th square number.

46893469401 is the 108275-th centered octagonal number.

It is an amenable number.

46893469401 is a deficient number, since it is larger than the sum of its proper divisors (23160180342).

46893469401 is an frugal number, since it uses more digits than its factorization.

46893469401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48134 (or 24064 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 46893469401 in words is "forty-six billion, eight hundred ninety-three million, four hundred sixty-nine thousand, four hundred one".

Divisors: 1 3 9 27 81 24061 72183 216549 649647 1948941 578931721 1736795163 5210385489 15631156467 46893469401