Search a number
-
+
30960291648 = 26311132127683
BaseRepresentation
bin11100110101011000…
…001000111101000000
32221220200020202212110
4130311120020331000
51001401313313043
622120054255320
72144140064646
oct346530107500
987820222773
1030960291648
11121483063a0
126000657540
132bc530b400
1416d9bbb196
15c130b4b33
hex735608f40

30960291648 has 336 divisors, whose sum is σ = 97670209536. Its totient is φ = 8579450880.

The previous prime is 30960291619. The next prime is 30960291673. The reversal of 30960291648 is 84619206903.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 30960291597 and 30960291606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45329515 + ... + 45330197.

Almost surely, 230960291648 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 30960291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48835104768).

30960291648 is an abundant number, since it is smaller than the sum of its proper divisors (66709917888).

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

30960291648 is a wasteful number, since it uses less digits than its factorization.

30960291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 30960291648 in words is "thirty billion, nine hundred sixty million, two hundred ninety-one thousand, six hundred forty-eight".