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5411226221145 = 3254113812123761
BaseRepresentation
bin100111010111110011000…
…1101110111101001011001
3201011022022122210121201100
41032233212031313221121
51202124142403034040
615301514421342013
71065643141652643
oct116574615675131
921138278717640
105411226221145
1117a6985149a78
12734894867909
133033794651c4
14149c948a5893
1595b59992b30
hex4ebe6377a59

5411226221145 has 48 divisors (see below), whose sum is σ = 9615188039184. Its totient is φ = 2813557248000.

The previous prime is 5411226221069. The next prime is 5411226221153.

5411226221145 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 22 + 622 + 1 + 1 + 4 + 5 = 666.

5411226221145 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1468078759449 + 3943147461696 = 1211643^2 + 1985736^2 .

It is not a de Polignac number, because 5411226221145 - 29 = 5411226220633 is a prime.

It is a super-2 number, since 2×54112262211452 (a number of 26 digits) contains 22 as substring.

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, 1486065 + ... + 3609825.

It is an arithmetic number, because the mean of its divisors is an integer number (200316417483).

Almost surely, 25411226221145 is an apocalyptic number.

It is an amenable number.

5411226221145 is a deficient number, since it is larger than the sum of its proper divisors (4203961818039).

5411226221145 is a wasteful number, since it uses less digits than its factorization.

5411226221145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125194 (or 2125191 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 5411226221145 in words is "five trillion, four hundred eleven billion, two hundred twenty-six million, two hundred twenty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1381 1845 4143 6905 12429 20715 56621 62145 169863 283105 509589 849315 2123761 2547945 6371283 10618805 19113849 31856415 87074201 95569245 261222603 435371005 783667809 1306113015 2932913941 3918339045 8798741823 14664569705 26396225469 43993709115 120249471581 131981127345 360748414743 601247357905 1082245244229 1803742073715 5411226221145