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66015404466 = 231110123094289
BaseRepresentation
bin111101011110110100…
…110010000110110010
320022101201122000101020
4331132310302012302
52040144420420331
650154351120310
74524631452024
oct753664620662
9208351560336
1066015404466
1125aa6a7a510
1210964513096
1362c0a8a70b
1432a3752014
151ab58cec96
hexf5ed321b2

66015404466 has 64 divisors (see below), whose sum is σ = 145556611200. Its totient is φ = 19793408000.

The previous prime is 66015404437. The next prime is 66015404473. The reversal of 66015404466 is 66440451066.

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, 15389650 + ... + 15393938.

It is an arithmetic number, because the mean of its divisors is an integer number (2274322050).

Almost surely, 266015404466 is an apocalyptic number.

66015404466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66015404466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72778305600).

66015404466 is an abundant number, since it is smaller than the sum of its proper divisors (79541206734).

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

66015404466 is a wasteful number, since it uses less digits than its factorization.

66015404466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 66015404466 in words is "sixty-six billion, fifteen million, four hundred four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 2309 3333 4289 4618 6666 6927 8578 12867 13854 25399 25734 47179 50798 76197 94358 141537 152394 233209 283074 433189 466418 699627 866378 1299567 1399254 2565299 2599134 4765079 5130598 7695897 9530158 9903301 14295237 15391794 19806602 28590474 29709903 59419806 108936311 217872622 326808933 653617866 1000233401 2000466802 3000700203 6001400406 11002567411 22005134822 33007702233 66015404466