Search a number
-
+
530975165760 = 26345131792693
BaseRepresentation
bin1111011101000001001…
…01100000110101000000
31212202112120110011120000
413232200211200311000
532144414120301020
61043532052320000
753235026304144
oct7564045406500
91782476404500
10530975165760
11195204702a46
1286aa6613000
133b0bc566420
141b9b0d93224
15dc2a185090
hex7ba0960d40

530975165760 has 560 divisors, whose sum is σ = 2153736191376. Its totient is φ = 123011923968.

The previous prime is 530975165753. The next prime is 530975165761. The reversal of 530975165760 is 67561579035.

530975165760 is a `hidden beast` number, since 5 + 30 + 97 + 516 + 5 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 62528003136 + 468447162624 = 250056^2 + 684432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 530975165697 and 530975165706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530975165761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5681974 + ... + 5774666.

Almost surely, 2530975165760 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 530975165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076868095688).

530975165760 is an abundant number, since it is smaller than the sum of its proper divisors (1622761025616).

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

530975165760 is a wasteful number, since it uses less digits than its factorization.

530975165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92752 (or 92733 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 54.

The spelling of 530975165760 in words is "five hundred thirty billion, nine hundred seventy-five million, one hundred sixty-five thousand, seven hundred sixty".