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133605666457 = 73264139113
BaseRepresentation
bin111110001101110000…
…1001010111010011001
3110202212012122002010221
41330123201022322121
54142111022311312
6141213321040041
712436605266314
oct1743341127231
9422765562127
10133605666457
1151730a0876a
1221a88326021
13c7a2bb9b93
1466762d197b
15371e694207
hex1f1b84ae99

133605666457 has 12 divisors (see below), whose sum is σ = 135675748764. Its totient is φ = 131566510080.

The previous prime is 133605666451. The next prime is 133605666473. The reversal of 133605666457 is 754666506331.

It can be written as a sum of positive squares in 6 ways, for example, as 1141696521 + 132463969936 = 33789^2 + 363956^2 .

It is not a de Polignac number, because 133605666457 - 231 = 131458182809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133605666451) 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, 3396333 + ... + 3435445.

It is an arithmetic number, because the mean of its divisors is an integer number (11306312397).

Almost surely, 2133605666457 is an apocalyptic number.

It is an amenable number.

133605666457 is a deficient number, since it is larger than the sum of its proper divisors (2070082307).

133605666457 is an frugal number, since it uses more digits than its factorization.

133605666457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39900 (or 39827 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 133605666457 in words is "one hundred thirty-three billion, six hundred five million, six hundred sixty-six thousand, four hundred fifty-seven".

Divisors: 1 73 641 5329 39113 46793 2855249 3415889 25071433 208433177 1830214609 133605666457