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46346000961 = 3133187372877
BaseRepresentation
bin101011001010011011…
…111101101001000001
311102121221011210021010
4223022123331221001
51224404034012321
633142511351133
73230332336221
oct531233755101
9142557153233
1046346000961
1118723122537
128b952224a9
1344a7a34210
142359326081
151313bb8676
hexaca6fda41

46346000961 has 16 divisors (see below), whose sum is σ = 66569163584. Its totient is φ = 28511590464.

The previous prime is 46346000951. The next prime is 46346000989. The reversal of 46346000961 is 16900064364.

It is not a de Polignac number, because 46346000961 - 223 = 46337612353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46346000951) 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 15 ways as a sum of consecutive naturals, for example, 62146 + ... + 310731.

It is an arithmetic number, because the mean of its divisors is an integer number (4160572724).

Almost surely, 246346000961 is an apocalyptic number.

46346000961 is the 124293-rd octagonal number.

It is an amenable number.

46346000961 is a deficient number, since it is larger than the sum of its proper divisors (20223162623).

46346000961 is a wasteful number, since it uses less digits than its factorization.

46346000961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376080.

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 46346000961 in words is "forty-six billion, three hundred forty-six million, nine hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 13 39 3187 9561 41431 124293 372877 1118631 4847401 14542203 1188358999 3565076997 15448666987 46346000961