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61907411345 = 5135317970221
BaseRepresentation
bin111001101001111110…
…000010000110010001
312220210102201100012212
4321221332002012101
52003241244130340
644235002401505
74321060212503
oct715176020621
9186712640185
1061907411345
112428913547a
12bbb8800295
135ab7987260
142dd3d29d73
151924e26a65
hexe69f82191

61907411345 has 16 divisors (see below), whose sum is σ = 81512926992. Its totient is φ = 44853669120.

The previous prime is 61907411231. The next prime is 61907411347. The reversal of 61907411345 is 54311470916.

It is a Cunningham number, because it is equal to 2488122+1.

It can be written as a sum of positive squares in 8 ways, for example, as 466387216 + 61441024129 = 21596^2 + 247873^2 .

It is not a de Polignac number, because 61907411345 - 220 = 61906362769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61907411347) 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 15 ways as a sum of consecutive naturals, for example, 8981666 + ... + 8988555.

It is an arithmetic number, because the mean of its divisors is an integer number (5094557937).

Almost surely, 261907411345 is an apocalyptic number.

61907411345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61907411345 is a deficient number, since it is larger than the sum of its proper divisors (19605515647).

61907411345 is a wasteful number, since it uses less digits than its factorization.

61907411345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970292.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 61907411345 in words is "sixty-one billion, nine hundred seven million, four hundred eleven thousand, three hundred forty-five".

Divisors: 1 5 13 53 65 265 689 3445 17970221 89851105 233612873 952421713 1168064365 4762108565 12381482269 61907411345