Search a number
-
+
30253732864 = 210105128111
BaseRepresentation
bin11100001011010000…
…110101010000000000
32220002102201212102121
4130023100311100000
5443424423422424
621522014254024
72120500325545
oct341320652000
986072655377
1030253732864
1111915497313
125a43ab7314
132b11b138a4
141670016bcc
15bc1048ee4
hex70b435400

30253732864 has 44 divisors (see below), whose sum is σ = 60537617728. Its totient is φ = 15111936000.

The previous prime is 30253732819. The next prime is 30253732867. The reversal of 30253732864 is 46823735203.

It is a self number, because there is not a number n which added to its sum of digits gives 30253732864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30253732867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1062169 + ... + 1090279.

Almost surely, 230253732864 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 30253732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30268808864).

30253732864 is an abundant number, since it is smaller than the sum of its proper divisors (30283884864).

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

30253732864 is a wasteful number, since it uses less digits than its factorization.

30253732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182 (or 29164 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 30253732864 in words is "thirty billion, two hundred fifty-three million, seven hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1051 2102 4204 8408 16816 28111 33632 56222 67264 112444 134528 224888 269056 449776 538112 899552 1076224 1799104 3598208 7196416 14392832 28785664 29544661 59089322 118178644 236357288 472714576 945429152 1890858304 3781716608 7563433216 15126866432 30253732864