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66461696 = 21371961
BaseRepresentation
bin1111110110001…
…0000000000000
311122001121022022
43331202000000
5114003233241
610332301012
71434625610
oct375420000
9148047268
1066461696
1134574724
121a311768
1310a00162
148b80a40
155c7c54b
hex3f62000

66461696 has 112 divisors (see below), whose sum is σ = 162519360. Its totient is φ = 26542080.

The previous prime is 66461683. The next prime is 66461719. The reversal of 66461696 is 69616466.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1089506 + ... + 1089566.

Almost surely, 266461696 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 66461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81259680).

66461696 is an abundant number, since it is smaller than the sum of its proper divisors (96057664).

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

66461696 is an equidigital number, since it uses as much as digits as its factorization.

66461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its digits is 279936, while the sum is 44.

The square root of 66461696 is about 8152.4043079327. The cubic root of 66461696 is about 405.0641487577.

The spelling of 66461696 in words is "sixty-six million, four hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 64 76 112 122 128 133 152 224 244 256 266 304 427 448 488 512 532 608 854 896 976 1024 1064 1159 1216 1708 1792 1952 2048 2128 2318 2432 3416 3584 3904 4096 4256 4636 4864 6832 7168 7808 8113 8192 8512 9272 9728 13664 14336 15616 16226 17024 18544 19456 27328 28672 31232 32452 34048 37088 38912 54656 57344 62464 64904 68096 74176 77824 109312 124928 129808 136192 148352 155648 218624 249856 259616 272384 296704 437248 499712 519232 544768 593408 874496 1038464 1089536 1186816 1748992 2076928 2373632 3497984 4153856 4747264 8307712 9494528 16615424 33230848 66461696