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46462006040 = 2354724713833
BaseRepresentation
bin101011010001010110…
…011111001100011000
311102221000110110022112
4223101112133030120
51230123233143130
633202214011452
73233241351362
oct532126371430
9142830413275
1046462006040
11187826558aa
129008046b88
1344c5a8c988
14236a8c1d32
15131de80495
hexad159f318

46462006040 has 32 divisors (see below), whose sum is σ = 106763762880. Its totient is φ = 18189380352.

The previous prime is 46462006027. The next prime is 46462006049. The reversal of 46462006040 is 4060026464.

46462006040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46462005988 and 46462006006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46462006049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12355037 + ... + 12358796.

It is an arithmetic number, because the mean of its divisors is an integer number (3336367590).

Almost surely, 246462006040 is an apocalyptic number.

46462006040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46462006040 is an abundant number, since it is smaller than the sum of its proper divisors (60301756840).

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

46462006040 is a wasteful number, since it uses less digits than its factorization.

46462006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24713891 (or 24713887 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 46462006040 in words is "forty-six billion, four hundred sixty-two million, six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 24713833 49427666 98855332 123569165 197710664 247138330 494276660 988553320 1161550151 2323100302 4646200604 5807750755 9292401208 11615501510 23231003020 46462006040