Search a number
-
+
530930643264 = 263272931712063
BaseRepresentation
bin1111011100111011110…
…11101011000101000000
31212202102110200012011200
413232131323223011000
532144321221041024
61043523422141200
753233646002020
oct7563573530500
91782373605150
10530930643264
1119519156359a
1286a93721800
133b0b3278258
141b9a90c3a80
15dc262dd2c9
hex7b9deeb140

530930643264 has 672 divisors, whose sum is σ = 1884301885440. Its totient is φ = 139674931200.

The previous prime is 530930643263. The next prime is 530930643307. The reversal of 530930643264 is 462346039035.

530930643264 is a `hidden beast` number, since 5 + 309 + 306 + 4 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530930643263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257357497 + ... + 257359559.

Almost surely, 2530930643264 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 530930643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942150942720).

530930643264 is an abundant number, since it is smaller than the sum of its proper divisors (1353371242176).

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

530930643264 is a wasteful number, since it uses less digits than its factorization.

530930643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 530930643264 in words is "five hundred thirty billion, nine hundred thirty million, six hundred forty-three thousand, two hundred sixty-four".