Search a number
-
+
472976068608 = 21232234312973
BaseRepresentation
bin1101110000111111001…
…00100001000000000000
31200012211111220202111200
412320133210201000000
530222123333143413
61001140542341200
746112534151351
oct6703744410000
91605744822450
10472976068608
111726517298aa
12777ba88a800
13357a850b524
1418c6c151d28
15c483422573
hex6e1f921000

472976068608 has 312 divisors, whose sum is σ = 1458875026752. Its totient is φ = 147285540864.

The previous prime is 472976068589. The next prime is 472976068687. The reversal of 472976068608 is 806860679274.

It is a super-2 number, since 2×4729760686082 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36452010 + ... + 36464982.

It is an arithmetic number, because the mean of its divisors is an integer number (4675881496).

Almost surely, 2472976068608 is an apocalyptic number.

472976068608 is a gapful number since it is divisible by the number (48) 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 472976068608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729437513376).

472976068608 is an abundant number, since it is smaller than the sum of its proper divisors (985898958144).

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

472976068608 is a wasteful number, since it uses less digits than its factorization.

472976068608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13069 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 472976068608 in words is "four hundred seventy-two billion, nine hundred seventy-six million, sixty-eight thousand, six hundred eight".