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473332055040 = 210325133672153
BaseRepresentation
bin1101110001101001100…
…10011111110000000000
31200020202022202202002100
412320310302133300000
530223341001230130
61001240140350400
746124416040565
oct6706462376000
91606668682070
10473332055040
11172814672769
1277899b45400
13358341ac4a0
1418ca353a86c
15c4a47dec60
hex6e34c9fc00

473332055040 has 528 divisors, whose sum is σ = 1771878745728. Its totient is φ = 116141064192.

The previous prime is 473332055011. The next prime is 473332055047. The reversal of 473332055040 is 40550233374.

473332055040 is a `hidden beast` number, since 4 + 7 + 33 + 32 + 0 + 550 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 473332054986 and 473332055004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473332055047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219846604 + ... + 219848756.

Almost surely, 2473332055040 is an apocalyptic number.

473332055040 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 473332055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885939372864).

473332055040 is an abundant number, since it is smaller than the sum of its proper divisors (1298546690688).

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

473332055040 is a wasteful number, since it uses less digits than its factorization.

473332055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 473332055040 in words is "four hundred seventy-three billion, three hundred thirty-two million, fifty-five thousand, forty".