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56498747401 = 293785761441
BaseRepresentation
bin110100100111100101…
…100111100000001001
312101211111100202010001
4310213211213200021
51411202134404101
641542152123001
74040043300115
oct644745474011
9171744322101
1056498747401
1121a63085178
12ab49396461
1354352726a5
142a3d88a745
15170a199901
hexd27967809

56498747401 has 16 divisors (see below), whose sum is σ = 60097649040. Its totient is φ = 53013381120.

The previous prime is 56498747399. The next prime is 56498747407. The reversal of 56498747401 is 10474789465.

56498747401 = 1680752 + 1680762.

It can be written as a sum of positive squares in 8 ways, for example, as 10916070400 + 45582677001 = 104480^2 + 213501^2 .

It is a cyclic number.

It is not a de Polignac number, because 56498747401 - 21 = 56498747399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56498747407) 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 15 ways as a sum of consecutive naturals, for example, 888841 + ... + 950281.

It is an arithmetic number, because the mean of its divisors is an integer number (3756103065).

Almost surely, 256498747401 is an apocalyptic number.

56498747401 is the 168076-th centered square number.

It is an amenable number.

56498747401 is a deficient number, since it is larger than the sum of its proper divisors (3598901639).

56498747401 is a wasteful number, since it uses less digits than its factorization.

56498747401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62364.

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 56498747401 in words is "fifty-six billion, four hundred ninety-eight million, seven hundred forty-seven thousand, four hundred one".

Divisors: 1 29 37 857 1073 24853 31709 61441 919561 1781789 2273317 52654937 65926193 1526993173 1948232669 56498747401