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474472078080 = 2835711131753137
BaseRepresentation
bin1101110011110001011…
…11010101101100000000
31200100200202220220200220
412321320233111230000
530233204322444310
61001545223143040
746164601056120
oct6717057255400
91610622826626
10474472078080
1117324a133970
1277b578a4a80
1335986434330
1418d70ad6c80
15c51e92e670
hex6e78bd5b00

474472078080 has 2304 divisors, whose sum is σ = 2210939006976. Its totient is φ = 83424706560.

The previous prime is 474472078051. The next prime is 474472078099. The reversal of 474472078080 is 80870274474.

474472078080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3463299772 + ... + 3463299908.

It is an arithmetic number, because the mean of its divisors is an integer number (959608944).

Almost surely, 2474472078080 is an apocalyptic number.

474472078080 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 474472078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105469503488).

474472078080 is an abundant number, since it is smaller than the sum of its proper divisors (1736466928896).

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

474472078080 is a wasteful number, since it uses less digits than its factorization.

474472078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 51.

The spelling of 474472078080 in words is "four hundred seventy-four billion, four hundred seventy-two million, seventy-eight thousand, eighty".