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66494016 = 2632671723
BaseRepresentation
bin1111110110100…
…1111001000000
311122010020122100
43331221321000
5114010302031
610333110400
71435122051
oct375517100
9148106570
1066494016
1134596a36
121a328400
1310a11a94
148b8c728
155c86de6
hex3f69e40

66494016 has 84 divisors (see below), whose sum is σ = 193550032. Its totient is φ = 21821184.

The previous prime is 66494009. The next prime is 66494017. The reversal of 66494016 is 61049466.

66494016 = 633 + 643 + ... + 1293.

66494016 is a `hidden beast` number, since 6 + 649 + 4 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66494017) 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, 37731 + ... + 39453.

Almost surely, 266494016 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 66494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96775016).

66494016 is an abundant number, since it is smaller than the sum of its proper divisors (127056016).

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

66494016 is a wasteful number, since it uses less digits than its factorization.

66494016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 66494016 is about 8154.3863043150. The cubic root of 66494016 is about 405.1297983599.

The spelling of 66494016 in words is "sixty-six million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 1723 2144 2412 3216 3446 4288 4824 5169 6432 6892 9648 10338 12864 13784 15507 19296 20676 27568 31014 38592 41352 55136 62028 82704 110272 115441 124056 165408 230882 248112 330816 346323 461764 496224 692646 923528 992448 1038969 1385292 1847056 2077938 2770584 3694112 4155876 5541168 7388224 8311752 11082336 16623504 22164672 33247008 66494016