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46407790080 = 293105307
BaseRepresentation
bin101011001110000111…
…101010111000000000
311102210020110000000000
4223032013222320000
51230020343240310
633153000000000
73232012464351
oct531607527000
9142706400000
1046407790080
1118754a95623
128bb1a60000
1344b7789622
14236360bd28
1513193214c0
hexace1eae00

46407790080 has 440 divisors, whose sum is σ = 167447610792. Its totient is φ = 12335099904.

The previous prime is 46407790057. The next prime is 46407790081. The reversal of 46407790080 is 8009770464.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46407790081) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 151165287 + ... + 151165593.

Almost surely, 246407790080 is an apocalyptic number.

46407790080 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 46407790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83723805396).

46407790080 is an abundant number, since it is smaller than the sum of its proper divisors (121039820712).

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

46407790080 is an frugal number, since it uses more digits than its factorization.

46407790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 46407790080 in words is "forty-six billion, four hundred seven million, seven hundred ninety thousand, eighty".