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23482977408 = 2733115571109
BaseRepresentation
bin10101110111101100…
…011100110010000000
32020121120100212001000
4111313230130302000
5341043120234113
614442105412000
71460634004662
oct256754346200
966546325030
1023482977408
119a6058a550
12467449a000
1322a3164107
1411caad2532
15926914373
hex577b1cc80

23482977408 has 256 divisors, whose sum is σ = 75812112000. Its totient is φ = 7096872960.

The previous prime is 23482977383. The next prime is 23482977409. The reversal of 23482977408 is 80477928432.

It is a happy number.

23482977408 is a `hidden beast` number, since 2 + 3 + 482 + 97 + 74 + 0 + 8 = 666.

It is a super-3 number, since 3×234829774083 (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23482977409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21174358 + ... + 21175466.

Almost surely, 223482977408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23482977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37906056000).

23482977408 is an abundant number, since it is smaller than the sum of its proper divisors (52329134592).

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

23482977408 is a wasteful number, since it uses less digits than its factorization.

23482977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 23482977408 in words is "twenty-three billion, four hundred eighty-two million, nine hundred seventy-seven thousand, four hundred eight".