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530465041176 = 233741611279941
BaseRepresentation
bin1111011100000100010…
…11100010101100011000
31212201020000120011011220
413232002023202230120
532142343022304201
61043405310452040
753216263311360
oct7560213425430
91781200504156
10530465041176
11194a72760884
1286983804020
133b03a977b65
141b9633239a0
15dbea4bc036
hex7b822e2b18

530465041176 has 256 divisors, whose sum is σ = 1590618193920. Its totient is φ = 144281088000.

The previous prime is 530465041157. The next prime is 530465041177. The reversal of 530465041176 is 671140564035.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530465041177) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53356366 + ... + 53366306.

It is an arithmetic number, because the mean of its divisors is an integer number (6213352320).

Almost surely, 2530465041176 is an apocalyptic number.

530465041176 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530465041176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795309096960).

530465041176 is an abundant number, since it is smaller than the sum of its proper divisors (1060153152744).

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

530465041176 is a wasteful number, since it uses less digits than its factorization.

530465041176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10186 (or 10182 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 530465041176 in words is "five hundred thirty billion, four hundred sixty-five million, forty-one thousand, one hundred seventy-six".