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61344202537 = 1131933737541
BaseRepresentation
bin111001001000011001…
…100011111100101001
312212100011221100222101
4321020121203330221
52001113103440122
644103043053401
74301111055352
oct711031437451
9185304840871
1061344202537
112401a226352
12ba80071261
135a280a07c7
142d7d1dcd29
1518e0775027
hexe48663f29

61344202537 has 16 divisors (see below), whose sum is σ = 62382778128. Its totient is φ = 60316139520.

The previous prime is 61344202529. The next prime is 61344202561. The reversal of 61344202537 is 73520244316.

61344202537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 23093057296 + 38251145241 = 151964^2 + 195579^2 .

It is a cyclic number.

It is not a de Polignac number, because 61344202537 - 23 = 61344202529 is a prime.

It is a super-3 number, since 3×613442025373 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61344202496 and 61344202505.

It is not an unprimeable number, because it can be changed into a prime (61344202597) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8130987 + ... + 8138527.

It is an arithmetic number, because the mean of its divisors is an integer number (3898923633).

Almost surely, 261344202537 is an apocalyptic number.

It is an amenable number.

61344202537 is a deficient number, since it is larger than the sum of its proper divisors (1038575591).

61344202537 is a wasteful number, since it uses less digits than its factorization.

61344202537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220.

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 61344202537 in words is "sixty-one billion, three hundred forty-four million, two hundred two thousand, five hundred thirty-seven".

Divisors: 1 113 193 373 7541 21809 42149 71989 852133 1455413 2812793 8134757 164461669 317845609 542869049 61344202537