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66901338 = 23272232381
BaseRepresentation
bin1111111100110…
…1010101011010
311122212221101100
43333031111122
5114111320323
610345532230
71441436430
oct377152532
9148787340
1066901338
1134844a69
121a4a4076
1310b252ba
148c56d50
155d17943
hex3fcd55a

66901338 has 48 divisors (see below), whose sum is σ = 166473216. Its totient is φ = 19020960.

The previous prime is 66901321. The next prime is 66901343. The reversal of 66901338 is 83310966.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26908 + ... + 29288.

It is an arithmetic number, because the mean of its divisors is an integer number (3468192).

Almost surely, 266901338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66901338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83236608).

66901338 is an abundant number, since it is smaller than the sum of its proper divisors (99571878).

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

66901338 is a wasteful number, since it uses less digits than its factorization.

66901338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 66901338 is about 8179.3238106826. The cubic root of 66901338 is about 405.9553486935.

The spelling of 66901338 in words is "sixty-six million, nine hundred one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 2381 3122 4014 4683 4762 7143 9366 14049 14286 16667 21429 28098 33334 42858 50001 100002 150003 300006 530963 1061926 1592889 3185778 3716741 4778667 7433482 9557334 11150223 22300446 33450669 66901338