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4467881561 = 11213241732
BaseRepresentation
bin1000010100100111…
…00111011001011001
3102112101002220021212
410022103213121121
533122234202221
62015202112505
7215501236523
oct41223473131
912471086255
104467881561
111993003600
12a4834b735
1356283c500
14305548a13
151b2396b5b
hex10a4e7659

4467881561 has 54 divisors (see below), whose sum is σ = 5523151914. Its totient is φ = 3607718400.

The previous prime is 4467881557. The next prime is 4467881567. The reversal of 4467881561 is 1651887644.

It can be written as a sum of positive squares in 9 ways, for example, as 3153384025 + 1314497536 = 56155^2 + 36256^2 .

It is not a de Polignac number, because 4467881561 - 22 = 4467881557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4467881567) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 61203821 + ... + 61203893.

It is an arithmetic number, because the mean of its divisors is an integer number (102280591).

Almost surely, 24467881561 is an apocalyptic number.

4467881561 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4467881561 is a deficient number, since it is larger than the sum of its proper divisors (1055270353).

4467881561 is a wasteful number, since it uses less digits than its factorization.

4467881561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 138 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 50.

The square root of 4467881561 is about 66842.2139145615. The cubic root of 4467881561 is about 1647.0263626354.

The spelling of 4467881561 in words is "four billion, four hundred sixty-seven million, eight hundred eighty-one thousand, five hundred sixty-one".

Divisors: 1 11 13 41 73 121 143 169 451 533 803 949 1573 1859 2993 4961 5329 5863 6929 8833 10439 12337 20449 32923 38909 58619 64493 69277 76219 114829 135707 218489 362153 427999 505817 644809 762047 838409 900601 1492777 2403379 2840357 4707989 5563987 8382517 9906611 26437169 31243927 36924641 61203857 108972721 343683197 406171051 4467881561