Search a number
-
+
530520468480 = 210335193753103
BaseRepresentation
bin1111011100001010111…
…10111110110000000000
31212201100212212011011000
413232011132332300000
532143001214442410
61043415010452000
753220535402122
oct7560536766000
91781325764130
10530520468480
11194aa0a79172
128699a294000
133b0492b3692
141b96a831212
15dc002b9dc0
hex7b857bec00

530520468480 has 1408 divisors, whose sum is σ = 2096861644800. Its totient is φ = 126701273088.

The previous prime is 530520468431. The next prime is 530520468503. The reversal of 530520468480 is 84864025035.

530520468480 is a `hidden beast` number, since 5 + 3 + 0 + 520 + 46 + 8 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5150684109 + ... + 5150684211.

Almost surely, 2530520468480 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 530520468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048430822400).

530520468480 is an abundant number, since it is smaller than the sum of its proper divisors (1566341176320).

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

530520468480 is a wasteful number, since it uses less digits than its factorization.

530520468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 530520468480 in words is "five hundred thirty billion, five hundred twenty million, four hundred sixty-eight thousand, four hundred eighty".