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66413696 = 2717231327
BaseRepresentation
bin1111110101011…
…0010010000000
311121222011110112
43331112102000
5114000214241
610331250452
71434335636
oct375262200
9147864415
1066413696
1134541658
121a2a9a28
13109b435b
148b6b356
155c6d1eb
hex3f56480

66413696 has 64 divisors (see below), whose sum is σ = 146292480. Its totient is φ = 29872128.

The previous prime is 66413657. The next prime is 66413707. The reversal of 66413696 is 69631466.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49385 + ... + 50711.

It is an arithmetic number, because the mean of its divisors is an integer number (2285820).

Almost surely, 266413696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73146240).

66413696 is an abundant number, since it is smaller than the sum of its proper divisors (79878784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66413696 is a wasteful number, since it uses less digits than its factorization.

66413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1369 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 66413696 is about 8149.4598594017. The cubic root of 66413696 is about 404.9666100604.

The spelling of 66413696 in words is "sixty-six million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1327 1472 1564 2176 2654 2944 3128 5308 6256 10616 12512 21232 22559 25024 30521 42464 45118 50048 61042 84928 90236 122084 169856 180472 244168 360944 488336 518857 721888 976672 1037714 1443776 1953344 2075428 2887552 3906688 4150856 8301712 16603424 33206848 66413696