Search a number
-
+
474489213120 = 26345132195701
BaseRepresentation
bin1101110011110011100…
…00101101000011000000
31200100201222011110120000
412321321300231003000
530233223214304440
61001551034320000
746165166523366
oct6717160550300
91610658143500
10474489213120
1117325887775a
1277b61589000
1335989b53700
1418d730b7636
15c5211b6730
hex6e79c2d0c0

474489213120 has 840 divisors, whose sum is σ = 1924193042640. Its totient is φ = 110630707200.

The previous prime is 474489213071. The next prime is 474489213161. The reversal of 474489213120 is 21312984474.

474489213120 is a `hidden beast` number, since 47 + 4 + 489 + 2 + 1 + 3 + 120 = 666.

It is a super-3 number, since 3×4744892131203 (a number of 36 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 83226270 + ... + 83231970.

Almost surely, 2474489213120 is an apocalyptic number.

474489213120 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 474489213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962096521320).

474489213120 is an abundant number, since it is smaller than the sum of its proper divisors (1449703829520).

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

474489213120 is a wasteful number, since it uses less digits than its factorization.

474489213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 474489213120 in words is "four hundred seventy-four billion, four hundred eighty-nine million, two hundred thirteen thousand, one hundred twenty".