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46104478992 = 243311213217307
BaseRepresentation
bin101010111100000010…
…101000010100010000
311102000002201012102000
4222330002220110100
51223410221311432
633102522554000
73221340414435
oct527402502420
9142002635360
1046104478992
111860985a500
128b28368900
13446999c700
142335215b8c
1512ec8ab57c
hexabc0a8510

46104478992 has 720 divisors, whose sum is σ = 167319915840. Its totient is φ = 12098211840.

The previous prime is 46104478919. The next prime is 46104478993. The reversal of 46104478992 is 29987440164.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46104478993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150177303 + ... + 150177609.

It is an arithmetic number, because the mean of its divisors is an integer number (232388772).

Almost surely, 246104478992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46104478992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83659957920).

46104478992 is an abundant number, since it is smaller than the sum of its proper divisors (121215436848).

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

46104478992 is a wasteful number, since it uses less digits than its factorization.

46104478992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 46104478992 in words is "forty-six billion, one hundred four million, four hundred seventy-eight thousand, nine hundred ninety-two".