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474467280480 = 253351674791373
BaseRepresentation
bin1101110011110000111…
…01000010011001100000
31200100200102220011122000
412321320131002121200
530233202110433410
61001544532244000
746164512225004
oct6717035023140
91610612804560
10474467280480
11173247457406
1277b56170600
133598544470b
1418d70208704
15c51e2d2dc0
hex6e78742660

474467280480 has 384 divisors, whose sum is σ = 1675286323200. Its totient is φ = 125413005312.

The previous prime is 474467280461. The next prime is 474467280517. The reversal of 474467280480 is 84082764474.

474467280480 is a `hidden beast` number, since 47 + 4 + 46 + 7 + 2 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345569074 + ... + 345570446.

It is an arithmetic number, because the mean of its divisors is an integer number (4362724800).

Almost surely, 2474467280480 is an apocalyptic number.

474467280480 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 474467280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837643161600).

474467280480 is an abundant number, since it is smaller than the sum of its proper divisors (1200819042720).

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

474467280480 is a wasteful number, since it uses less digits than its factorization.

474467280480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 474467280480 in words is "four hundred seventy-four billion, four hundred sixty-seven million, two hundred eighty thousand, four hundred eighty".