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508039945056 = 253272127467607
BaseRepresentation
bin1110110010010011000…
…10100101101101100000
31210120100011210020110100
413121021202211231200
531310431211220211
61025220151102400
751463463165400
oct7311142455540
91716304706410
10508039945056
11186505339196
1282565671a00
1338ba5a38707
141a836d28800
15d3368be156
hex76498a5b60

508039945056 has 432 divisors, whose sum is σ = 1700271046656. Its totient is φ = 143466204672.

The previous prime is 508039945001. The next prime is 508039945057. The reversal of 508039945056 is 650549930805.

It is a happy number.

508039945056 is a `hidden beast` number, since 50 + 8 + 0 + 3 + 99 + 450 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 508039944993 and 508039945011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508039945057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 836968305 + ... + 836968911.

It is an arithmetic number, because the mean of its divisors is an integer number (3935812608).

Almost surely, 2508039945056 is an apocalyptic number.

508039945056 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 508039945056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850135523328).

508039945056 is an abundant number, since it is smaller than the sum of its proper divisors (1192231101600).

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

508039945056 is a wasteful number, since it uses less digits than its factorization.

508039945056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 508039945056 in words is "five hundred eight billion, thirty-nine million, nine hundred forty-five thousand, fifty-six".