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580511378461 = 7211847170989
BaseRepresentation
bin10000111001010010010…
…11001010110000011101
32001111101211120111121111
420130221023022300131
534002341403102321
61122403325302021
756640420205300
oct10345113126035
92044354514544
10580511378461
112042145a2803
1294610104911
13429851bcaa1
142014dc76b37
1510178e665e1
hex87292cac1d

580511378461 has 6 divisors (see below), whose sum is σ = 675288746430. Its totient is φ = 497581181496.

The previous prime is 580511378429. The next prime is 580511378483. The reversal of 580511378461 is 164873115085.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 471393469561 + 109117908900 = 686581^2 + 330330^2 .

It is not a de Polignac number, because 580511378461 - 25 = 580511378429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 11847170989 = 580511378461 / (5 + 8 + 0 + 5 + 1 + 1 + 3 + 7 + 8 + 4 + 6 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580511378411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5923585446 + ... + 5923585543.

It is an arithmetic number, because the mean of its divisors is an integer number (112548124405).

Almost surely, 2580511378461 is an apocalyptic number.

It is an amenable number.

580511378461 is a deficient number, since it is larger than the sum of its proper divisors (94777367969).

580511378461 is a wasteful number, since it uses less digits than its factorization.

580511378461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847171003 (or 11847170996 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 580511378461 in words is "five hundred eighty billion, five hundred eleven million, three hundred seventy-eight thousand, four hundred sixty-one".

Divisors: 1 7 49 11847170989 82930196923 580511378461