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66977274 = 23713241509
BaseRepresentation
bin1111111101111…
…1110111111010
311200000210112210
43333133313322
5114121233044
610351315550
71442204010
oct377376772
9150023483
1066977274
1134897021
121a51bbb6
1310b50a30
148c768b0
155d301b9
hex3fdfdfa

66977274 has 64 divisors (see below), whose sum is σ = 165876480. Its totient is φ = 17556480.

The previous prime is 66977257. The next prime is 66977279. The reversal of 66977274 is 47277966.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66977279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131332 + ... + 131840.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 266977274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66977274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938240).

66977274 is an abundant number, since it is smaller than the sum of its proper divisors (98899206).

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

66977274 is a wasteful number, since it uses less digits than its factorization.

66977274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its digits is 889056, while the sum is 48.

The square root of 66977274 is about 8183.9644427380. The cubic root of 66977274 is about 406.1088830892.

The spelling of 66977274 in words is "sixty-six million, nine hundred seventy-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 241 273 482 509 546 723 1018 1446 1527 1687 3054 3133 3374 3563 5061 6266 6617 7126 9399 10122 10689 13234 18798 19851 21378 21931 39702 43862 46319 65793 92638 122669 131586 138957 245338 277914 368007 736014 858683 1594697 1717366 2576049 3189394 4784091 5152098 9568182 11162879 22325758 33488637 66977274