Search a number
-
+
56313786401279 = 1124327566918973
BaseRepresentation
bin11001100110111100100110…
…01111000000000111111111
321101101112201121011120222222
430303132103033000013333
524340121113304320104
6315434110223555555
714601352060350461
oct1463362317000777
9241345647146888
1056313786401279
1116a415a7365100
126395ba515bbbb
1325564a0b84664
14dc985d4d0131
15679cb67961be
hex3337933c01ff

56313786401279 has 24 divisors (see below), whose sum is σ = 61927115029920. Its totient is φ = 51170794234560.

The previous prime is 56313786401263. The next prime is 56313786401281. The reversal of 56313786401279 is 97210468731365.

It is not a de Polignac number, because 56313786401279 - 24 = 56313786401263 is a prime.

It is a super-2 number, since 2×563137864012792 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56313786401779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968091837 + ... + 2968110809.

It is an arithmetic number, because the mean of its divisors is an integer number (2580296459580).

It is a 1-persistent number, because it is pandigital, but 2⋅56313786401279 = 112627572802558 is not.

Almost surely, 256313786401279 is an apocalyptic number.

56313786401279 is a deficient number, since it is larger than the sum of its proper divisors (5613328628641).

56313786401279 is a wasteful number, since it uses less digits than its factorization.

56313786401279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28991 (or 28980 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 56313786401279 in words is "fifty-six trillion, three hundred thirteen billion, seven hundred eighty-six million, four hundred one thousand, two hundred seventy-nine".

Divisors: 1 11 121 4327 5669 18973 47597 62359 208703 523567 685949 2295733 24529763 82096171 107557937 269827393 903057881 1183137307 2968101323 9933636691 13014510377 465403193399 5119435127389 56313786401279