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5775003970560 = 2103251143264959
BaseRepresentation
bin101010000001001100100…
…0011110110110000000000
3202110002021221211000011200
41110002121003312300000
51224104202004024220
620141000013141200
71134141660550566
oct124023103666000
922402257730150
105775003970560
111927190207390
1279329918a800
1332b771597776
1415d7240b9a36
15a034b377890
hex540990f6c00

5775003970560 has 528 divisors, whose sum is σ = 22337094574080. Its totient is φ = 1367437639680.

The previous prime is 5775003970559. The next prime is 5775003970601. The reversal of 5775003970560 is 650793005775.

5775003970560 is a `hidden beast` number, since 5 + 7 + 7 + 5 + 0 + 0 + 3 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5775003970497 and 5775003970506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21663361 + ... + 21928319.

It is an arithmetic number, because the mean of its divisors is an integer number (42305103360).

Almost surely, 25775003970560 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 5775003970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11168547287040).

5775003970560 is an abundant number, since it is smaller than the sum of its proper divisors (16562090603520).

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

5775003970560 is a wasteful number, since it uses less digits than its factorization.

5775003970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265044 (or 265023 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 5775003970560 in words is "five trillion, seven hundred seventy-five billion, three million, nine hundred seventy thousand, five hundred sixty".