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7135680385 = 517412047541
BaseRepresentation
bin1101010010101000…
…11101011110000001
3200102022001010021201
412221110131132001
5104103213233020
63140022221201
7341554165621
oct65124353601
920368033251
107135680385
1130319a6319
121471884801
138994600b2
144b9998881
152bb6baa0a
hex1a951d781

7135680385 has 16 divisors (see below), whose sum is σ = 9287650512. Its totient is φ = 5241702400.

The previous prime is 7135680371. The next prime is 7135680397. The reversal of 7135680385 is 5830865317.

It can be written as a sum of positive squares in 8 ways, for example, as 301682161 + 6833998224 = 17369^2 + 82668^2 .

It is a de Polignac number, because none of the positive numbers 2k-7135680385 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020286 + ... + 1027255.

It is an arithmetic number, because the mean of its divisors is an integer number (580478157).

Almost surely, 27135680385 is an apocalyptic number.

It is an amenable number.

7135680385 is a deficient number, since it is larger than the sum of its proper divisors (2151970127).

7135680385 is a wasteful number, since it uses less digits than its factorization.

7135680385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047604.

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 7135680385 is about 84472.9565304778. The cubic root of 7135680385 is about 1925.2115703819.

The spelling of 7135680385 in words is "seven billion, one hundred thirty-five million, six hundred eighty thousand, three hundred eighty-five".

Divisors: 1 5 17 41 85 205 697 3485 2047541 10237705 34808197 83949181 174040985 419745905 1427136077 7135680385