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56507445141 = 3731151631911
BaseRepresentation
bin110100101000000110…
…110010111110010101
312101212002201122011120
4310220012302332111
51411211401221031
641543102354153
74040210234010
oct645006627625
9171762648146
1056507445141
1121a67a85994
12ab5028b959
135436cc9594
142a40ab2377
15170ad16a96
hexd281b2f95

56507445141 has 64 divisors (see below), whose sum is σ = 89713016832. Its totient is φ = 30958200000.

The previous prime is 56507445119. The next prime is 56507445187. The reversal of 56507445141 is 14154470565.

56507445141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56507445141 - 211 = 56507443093 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 56507445093 and 56507445102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56507444141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62027476 + ... + 62028386.

It is an arithmetic number, because the mean of its divisors is an integer number (1401765888).

Almost surely, 256507445141 is an apocalyptic number.

It is an amenable number.

56507445141 is a deficient number, since it is larger than the sum of its proper divisors (33205571691).

56507445141 is a wasteful number, since it uses less digits than its factorization.

56507445141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734.

The product of its (nonzero) digits is 336000, while the sum is 42.

The spelling of 56507445141 in words is "fifty-six billion, five hundred seven million, four hundred forty-five thousand, one hundred forty-one".

Divisors: 1 3 7 21 31 93 151 217 453 631 651 911 1057 1893 2733 3171 4417 4681 6377 13251 14043 19131 19561 28241 32767 58683 84723 95281 98301 136927 137561 197687 285843 410781 412683 574841 593061 666967 962927 1724523 2000901 2888781 2953711 4023887 4264391 8861133 12071661 12793173 17820071 20675977 29850737 53460213 62027931 86800991 89552211 124740497 260402973 374221491 607606937 1822820811 2690830721 8072492163 18835815047 56507445141