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5083055640 = 2333513477703
BaseRepresentation
bin1001011101111100…
…10100011000011000
3111010020122222111000
410232332110120120
540402230240030
62200215305000
7236651155125
oct45676243030
914106588430
105083055640
112179285a33
12b9a37b160
1363011ba40
1436312174c
151eb3b0860
hex12ef94618

5083055640 has 256 divisors, whose sum is σ = 18637516800. Its totient is φ = 1224433152.

The previous prime is 5083055603. The next prime is 5083055669. The reversal of 5083055640 is 465503805.

5083055640 is a `hidden beast` number, since 5 + 0 + 8 + 3 + 0 + 5 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5083055595 and 5083055604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656029 + ... + 663731.

It is an arithmetic number, because the mean of its divisors is an integer number (72802800).

Almost surely, 25083055640 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 5083055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9318758400).

5083055640 is an abundant number, since it is smaller than the sum of its proper divisors (13554461160).

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

5083055640 is a wasteful number, since it uses less digits than its factorization.

5083055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783 (or 7773 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5083055640 is about 71295.5513338665. The cubic root of 5083055640 is about 1719.3922090849.

The spelling of 5083055640 in words is "five billion, eighty-three million, fifty-five thousand, six hundred forty".