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56611441446 = 23737169721467
BaseRepresentation
bin110100101110010011…
…100000101100100110
312102010100102012021120
4310232103200230212
51411420012111241
642001255354410
74042612212150
oct645623405446
9172110365246
1056611441446
112201075694a
12ab7b082a06
13545270c061
142a50823ad0
15171500a666
hexd2e4e0b26

56611441446 has 64 divisors (see below), whose sum is σ = 132979318272. Its totient is φ = 15727537152.

The previous prime is 56611441441. The next prime is 56611441451. The reversal of 56611441446 is 64414411665.

It is an interprime number because it is at equal distance from previous prime (56611441441) and next prime (56611441451).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 56611441398 and 56611441407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56611441441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626405 + ... + 2647871.

It is an arithmetic number, because the mean of its divisors is an integer number (2077801848).

Almost surely, 256611441446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56611441446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66489659136).

56611441446 is an abundant number, since it is smaller than the sum of its proper divisors (76367876826).

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

56611441446 is a wasteful number, since it uses less digits than its factorization.

56611441446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23213.

The product of its digits is 276480, while the sum is 42.

The spelling of 56611441446 in words is "fifty-six billion, six hundred eleven million, four hundred forty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 1697 3394 5091 10182 11879 21467 23758 35637 42934 62789 64401 71274 125578 128802 150269 188367 300538 376734 439523 450807 794279 879046 901614 1318569 1588558 2382837 2637138 4765674 5559953 11119906 16679859 33359718 36429499 72858998 109288497 218576994 255006493 510012986 765019479 1347891463 1530038958 2695782926 4043674389 8087348778 9435240241 18870480482 28305720723 56611441446