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46507991040 = 213325767269
BaseRepresentation
bin101011010100000101…
…111010000000000000
311110001012222201212200
4223110011322000000
51230222021203130
633210535353200
73234340254420
oct532405720000
9143035881780
1046507991040
11187a6604035
12901b522800
134502470734
142372a52480
151323015760
hexad417a000

46507991040 has 672 divisors, whose sum is σ = 187694133120. Its totient is φ = 10432806912.

The previous prime is 46507991039. The next prime is 46507991069. The reversal of 46507991040 is 4019970564.

46507991040 is a `hidden beast` number, since 4 + 6 + 507 + 99 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172892026 + ... + 172892294.

Almost surely, 246507991040 is an apocalyptic number.

46507991040 is a gapful number since it is divisible by the number (40) 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 46507991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93847066560).

46507991040 is an abundant number, since it is smaller than the sum of its proper divisors (141186142080).

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

46507991040 is a wasteful number, since it uses less digits than its factorization.

46507991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 46507991040 in words is "forty-six billion, five hundred seven million, nine hundred ninety-one thousand, forty".