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66868736 = 291131383
BaseRepresentation
bin1111111100010…
…1011000000000
311122211021122212
43333011120000
5114104244421
610345121252
71441242404
oct377053000
9148737585
1066868736
1134822520
121a489228
1310b134cc
148c49104
155d0ce5b
hex3fc5600

66868736 has 80 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 29337600.

The previous prime is 66868717. The next prime is 66868757. The reversal of 66868736 is 63786866.

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, 174401 + ... + 174783.

Almost surely, 266868736 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 66868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

66868736 is an abundant number, since it is smaller than the sum of its proper divisors (83978752).

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

66868736 is a wasteful number, since it uses less digits than its factorization.

66868736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 427 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 66868736 is about 8177.3306157939. The cubic root of 66868736 is about 405.8893953204.

The spelling of 66868736 in words is "sixty-six million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 383 496 512 682 704 766 992 1364 1408 1532 1984 2728 2816 3064 3968 4213 5456 5632 6128 7936 8426 10912 11873 12256 15872 16852 21824 23746 24512 33704 43648 47492 49024 67408 87296 94984 98048 130603 134816 174592 189968 196096 261206 269632 379936 522412 539264 759872 1044824 1078528 1519744 2089648 2157056 3039488 4179296 6078976 8358592 16717184 33434368 66868736