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532257785856 = 2113441139563
BaseRepresentation
bin1111011111011010000…
…10010100100000000000
31212212211221221000120000
413233231002110200000
532210030443121411
61044303231320000
753311562350266
oct7575502244000
91785757830500
10532257785856
1119580270a455
12871a4080000
133b2651c7724
141ba9346c436
15dca2a90956
hex7bed094800

532257785856 has 480 divisors, whose sum is σ = 1643219978400. Its totient is φ = 171541463040.

The previous prime is 532257785809. The next prime is 532257785879. The reversal of 532257785856 is 658587752235.

It is a happy number.

532257785856 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 577 + 8 + 5 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 532257785793 and 532257785802.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 945395431 + ... + 945395993.

It is an arithmetic number, because the mean of its divisors is an integer number (3423374955).

Almost surely, 2532257785856 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 532257785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821609989200).

532257785856 is an abundant number, since it is smaller than the sum of its proper divisors (1110962192544).

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

532257785856 is a wasteful number, since it uses less digits than its factorization.

532257785856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 748 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 63.

The spelling of 532257785856 in words is "five hundred thirty-two billion, two hundred fifty-seven million, seven hundred eighty-five thousand, eight hundred fifty-six".