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61538776417 = 292531380629
BaseRepresentation
bin111001010011111111…
…110011010101100001
312212211202001202011101
4321103333303111201
52002012411321132
644134233314401
74305662653216
oct712377632541
9185752052141
1061538776417
112410a042608
12bb15265a01
135a594a8091
142d9adabb0d
1519028ab7e7
hexe53ff3561

61538776417 has 12 divisors (see below), whose sum is σ = 64936551420. Its totient is φ = 58295636672.

The previous prime is 61538776393. The next prime is 61538776423. The reversal of 61538776417 is 71467783516.

It can be written as a sum of positive squares in 6 ways, for example, as 15715380321 + 45823396096 = 125361^2 + 214064^2 .

It is not a de Polignac number, because 61538776417 - 211 = 61538774369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61538776427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645742 + ... + 734887.

It is an arithmetic number, because the mean of its divisors is an integer number (5411379285).

Almost surely, 261538776417 is an apocalyptic number.

It is an amenable number.

61538776417 is a deficient number, since it is larger than the sum of its proper divisors (3397775003).

61538776417 is a wasteful number, since it uses less digits than its factorization.

61538776417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380740 (or 1380711 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 55.

The spelling of 61538776417 in words is "sixty-one billion, five hundred thirty-eight million, seven hundred seventy-six thousand, four hundred seventeen".

Divisors: 1 29 53 841 1537 44573 1380629 40038241 73173337 1161108989 2122026773 61538776417