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2550431564641 = 13731359476961
BaseRepresentation
bin100101000111010001100…
…100010100001101100001
3100000211002221221111020001
4211013101210110031201
5313241240440032031
65231352503420001
7352156033415212
oct45072144241541
910024087844201
102550431564641
118a36a5146224
1235235a454601
1315667399564c
148b627863409
1546521301861
hex251d1914361

2550431564641 has 8 divisors (see below), whose sum is σ = 2577255717384. Its totient is φ = 2523726366720.

The previous prime is 2550431564623. The next prime is 2550431564663. The reversal of 2550431564641 is 1464651340552.

It can be written as a sum of positive squares in 4 ways, for example, as 261807212241 + 2288624352400 = 511671^2 + 1512820^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2550431564641 - 235 = 2516071826273 is a prime.

It is a super-2 number, since 2×25504315646412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2550431564591 and 2550431564600.

It is not an unprimeable number, because it can be changed into a prime (2550431564621) 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 7 ways as a sum of consecutive naturals, for example, 29695600 + ... + 29781361.

It is an arithmetic number, because the mean of its divisors is an integer number (322156964673).

Almost surely, 22550431564641 is an apocalyptic number.

It is an amenable number.

2550431564641 is a deficient number, since it is larger than the sum of its proper divisors (26824152743).

2550431564641 is a wasteful number, since it uses less digits than its factorization.

2550431564641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59477411.

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 2550431564641 in words is "two trillion, five hundred fifty billion, four hundred thirty-one million, five hundred sixty-four thousand, six hundred forty-one".

Divisors: 1 137 313 42881 59476961 8148343657 18616288793 2550431564641