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66258816 = 2731321021
BaseRepresentation
bin1111110011000…
…0011110000000
311121200022000020
43330300132000
5113430240231
610324053440
71433122251
oct374603600
9147608006
1066258816
1134446258
121a234280
131095ba00
148b2ab28
155c3c396
hex3f30780

66258816 has 96 divisors (see below), whose sum is σ = 190766520. Its totient is φ = 20367360.

The previous prime is 66258781. The next prime is 66258839. The reversal of 66258816 is 61885266.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64386 + ... + 65406.

Almost surely, 266258816 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 66258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95383260).

66258816 is an abundant number, since it is smaller than the sum of its proper divisors (124507704).

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

66258816 is a wasteful number, since it uses less digits than its factorization.

66258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1039 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 66258816 is about 8139.9518426094. The cubic root of 66258816 is about 404.6515643597.

The spelling of 66258816 in words is "sixty-six million, two hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1021 1248 1352 1664 2028 2042 2496 2704 3063 4056 4084 4992 5408 6126 8112 8168 10816 12252 13273 16224 16336 21632 24504 26546 32448 32672 39819 49008 53092 64896 65344 79638 98016 106184 130688 159276 172549 196032 212368 318552 345098 392064 424736 517647 637104 690196 849472 1035294 1274208 1380392 1698944 2070588 2548416 2760784 4141176 5096832 5521568 8282352 11043136 16564704 22086272 33129408 66258816