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5610228062464 = 2837240012
BaseRepresentation
bin101000110100011101110…
…1001101001100100000000
3201212022222102212120220201
41101220323221221210000
51213404221340444324
615533145253414544
71116216452465224
oct121507351514400
921768872776821
105610228062464
111873314534843
1276737203a454
13319071a4032c
14155772198784
159ae0549b444
hex51a3ba69900

5610228062464 has 81 divisors (see below), whose sum is σ = 11512261880931. Its totient is φ = 2728617984000.

The previous prime is 5610228062447. The next prime is 5610228062479. The reversal of 5610228062464 is 4642608220165.

The square root of 5610228062464 is 2368592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 92464646400 + 5517763416064 = 304080^2 + 2348992^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1402204464 + ... + 1402208464.

Almost surely, 25610228062464 is an apocalyptic number.

5610228062464 is the 2368592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5610228062464

5610228062464 is an abundant number, since it is smaller than the sum of its proper divisors (5902033818467).

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

5610228062464 is an frugal number, since it uses more digits than its factorization.

5610228062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 5610228062464 in words is "five trillion, six hundred ten billion, two hundred twenty-eight million, sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 2368 2738 4001 4736 5476 8002 9472 10952 16004 21904 32008 43808 64016 87616 128032 148037 175232 256064 296074 350464 512128 592148 1024256 1184296 2368592 4737184 5477369 9474368 10954738 16008001 18948736 21909476 32016002 37897472 43818952 64032004 87637904 128064008 175275808 256128016 350551616 512256032 592296037 701103232 1024512064 1184592074 1402206464 2049024128 2369184148 4098048256 4738368296 9476736592 18953473184 21914953369 37906946368 43829906738 75813892736 87659813476 151627785472 175319626952 350639253904 701278507808 1402557015616 2805114031232 5610228062464