Search a number
-
+
530469411120 = 243251132341587
BaseRepresentation
bin1111011100000100111…
…00001101100100110000
31212201020022210011121200
413232002130031210300
532142400132123440
61043405544251200
753216345411625
oct7560234154460
91781208704550
10530469411120
11194a75176000
1286985170b00
133b03b847c1c
141b963b4034c
15dbeaa81c30
hex7b8270d930

530469411120 has 960 divisors, whose sum is σ = 2098143710208. Its totient is φ = 119802777600.

The previous prime is 530469411067. The next prime is 530469411127. The reversal of 530469411120 is 21114964035.

It is a happy number.

530469411120 is a `hidden beast` number, since 5 + 30 + 469 + 41 + 1 + 120 = 666.

It is a super-2 number, since 2×5304694111202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (530469411127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 903695467 + ... + 903696053.

Almost surely, 2530469411120 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 530469411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049071855104).

530469411120 is an abundant number, since it is smaller than the sum of its proper divisors (1567674299088).

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

530469411120 is a wasteful number, since it uses less digits than its factorization.

530469411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 530469411120 in words is "five hundred thirty billion, four hundred sixty-nine million, four hundred eleven thousand, one hundred twenty".