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46721706048 = 2632293190227
BaseRepresentation
bin101011100000110101…
…001010100001000000
311110121010010120202100
4223200311022201000
51231141224043143
633244052150400
73242543643303
oct534065124100
9143533116670
1046721706048
11188a6204306
12907b008400
13453781a514
1423931a4b3a
151336b7d6d3
hexae0d4a840

46721706048 has 168 divisors, whose sum is σ = 143007770880. Its totient is φ = 14551649280.

The previous prime is 46721706047. The next prime is 46721706061. The reversal of 46721706048 is 84060712764.

46721706048 is a `hidden beast` number, since 467 + 21 + 70 + 60 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46721705994 and 46721706012.

It is not an unprimeable number, because it can be changed into a prime (46721706041) 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 23 ways as a sum of consecutive naturals, for example, 472711 + ... + 562937.

Almost surely, 246721706048 is an apocalyptic number.

46721706048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46721706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71503885440).

46721706048 is an abundant number, since it is smaller than the sum of its proper divisors (96286064832).

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

46721706048 is a wasteful number, since it uses less digits than its factorization.

46721706048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90305 (or 90292 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 46721706048 in words is "forty-six billion, seven hundred twenty-one million, seven hundred six thousand, forty-eight".