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61334218329905 = 51131301544915313
BaseRepresentation
bin11011111001000011111000…
…10010111100111100110001
322001011111100010120020100102
431330201330102330330301
531014344434343024110
6334240314555402145
715630152051551643
oct1574417422747461
9261144303506312
1061334218329905
11185a77722a3a94
126a66b95753355
13282ba3ac63901
141120840674893
1571569cb025a5
hex37c87c4bcf31

61334218329905 has 32 divisors (see below), whose sum is σ = 74327963018400. Its totient is φ = 48583677542400.

The previous prime is 61334218329869. The next prime is 61334218329973. The reversal of 61334218329905 is 50992381243316.

It can be written as a sum of positive squares in 16 ways, for example, as 58714090150144 + 2620128179761 = 7662512^2 + 1618681^2 .

It is not a de Polignac number, because 61334218329905 - 234 = 61317038460721 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4005361529 + ... + 4005376841.

It is an arithmetic number, because the mean of its divisors is an integer number (2322748844325).

Almost surely, 261334218329905 is an apocalyptic number.

It is an amenable number.

61334218329905 is a deficient number, since it is larger than the sum of its proper divisors (12993744688495).

61334218329905 is a wasteful number, since it uses less digits than its factorization.

61334218329905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22181.

The product of its (nonzero) digits is 8398080, while the sum is 56.

The spelling of 61334218329905 in words is "sixty-one trillion, three hundred thirty-four billion, two hundred eighteen million, three hundred twenty-nine thousand, nine hundred five".

Divisors: 1 5 113 565 1301 5449 6505 15313 27245 76565 147013 615737 735065 1730369 3078685 7089149 8651845 19922213 35445745 83440537 99611065 417202685 801073837 2251210069 4005369185 9428780681 11256050345 47143903405 108556138637 542780693185 12266843665981 61334218329905