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66921888 = 25311127499
BaseRepresentation
bin1111111101001…
…0010110100000
311122220222120110
43333102112200
5114113000023
610350211320
71441553355
oct377222640
9148828513
1066921888
1134859450
121a4b3b40
1310b31767
148c6062c
155d1da93
hex3fd25a0

66921888 has 96 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 20079360.

The previous prime is 66921887. The next prime is 66921917. The reversal of 66921888 is 88812966.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66921887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133863 + ... + 134361.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 266921888 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 66921888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

66921888 is an abundant number, since it is smaller than the sum of its proper divisors (126614112).

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

66921888 is a wasteful number, since it uses less digits than its factorization.

66921888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 66921888 is about 8180.5799305428. The cubic root of 66921888 is about 405.9969100366.

The spelling of 66921888 in words is "sixty-six million, nine hundred twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 127 132 176 254 264 352 381 499 508 528 762 998 1016 1056 1397 1497 1524 1996 2032 2794 2994 3048 3992 4064 4191 5489 5588 5988 6096 7984 8382 10978 11176 11976 12192 15968 16467 16764 21956 22352 23952 32934 33528 43912 44704 47904 63373 65868 67056 87824 126746 131736 134112 175648 190119 253492 263472 380238 506984 526944 697103 760476 1013968 1394206 1520952 2027936 2091309 2788412 3041904 4182618 5576824 6083808 8365236 11153648 16730472 22307296 33460944 66921888