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61414417485 = 345257590041
BaseRepresentation
bin111001001100100101…
…011010010001001101
312212112002001122210000
4321030211122101031
52001234042324420
644114032034513
74302622635561
oct711445322115
9185462048700
1061414417485
1124055923933
12ba9b692a39
135a397b6105
142d886796a1
1518e69e4690
hexe4c95a44d

61414417485 has 40 divisors (see below), whose sum is σ = 110519586936. Its totient is φ = 32626851840.

The previous prime is 61414417483. The next prime is 61414417489. The reversal of 61414417485 is 58471441416.

61414417485 is a `hidden beast` number, since 6 + 14 + 144 + 17 + 485 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20031873156 + 41382544329 = 141534^2 + 203427^2 .

It is not a de Polignac number, because 61414417485 - 21 = 61414417483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 61414417485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61414417483) 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 39 ways as a sum of consecutive naturals, for example, 190936 + ... + 399105.

Almost surely, 261414417485 is an apocalyptic number.

It is an amenable number.

61414417485 is a deficient number, since it is larger than the sum of its proper divisors (49105169451).

61414417485 is a wasteful number, since it uses less digits than its factorization.

61414417485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590315 (or 590306 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 61414417485 in words is "sixty-one billion, four hundred fourteen million, four hundred seventeen thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 257 405 771 1285 2313 3855 6939 11565 20817 34695 104085 590041 1770123 2950205 5310369 8850615 15931107 26551845 47793321 79655535 151640537 238966605 454921611 758202685 1364764833 2274608055 4094294499 6823824165 12282883497 20471472495 61414417485