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66957044 = 22711219763
BaseRepresentation
bin1111111101101…
…0111011110100
311122222202210112
43333122323310
5114120111134
610351042152
71442061020
oct377327364
9148882715
1066957044
1134882900
121a510358
1310b4476b
148c6d380
155d291ce
hex3fdaef4

66957044 has 36 divisors (see below), whose sum is σ = 147202272. Its totient is φ = 26085840.

The previous prime is 66957043. The next prime is 66957049. The reversal of 66957044 is 44075966.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66956992 and 66957010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66957043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6494 + ... + 13269.

It is an arithmetic number, because the mean of its divisors is an integer number (4088952).

Almost surely, 266957044 is an apocalyptic number.

It is an amenable number.

66957044 is an abundant number, since it is smaller than the sum of its proper divisors (80245228).

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

66957044 is a wasteful number, since it uses less digits than its factorization.

66957044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19796 (or 19783 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 66957044 is about 8182.7283958347. The cubic root of 66957044 is about 406.0679915574.

The spelling of 66957044 in words is "sixty-six million, nine hundred fifty-seven thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 121 154 242 308 484 847 1694 3388 19763 39526 79052 138341 217393 276682 434786 553364 869572 1521751 2391323 3043502 4782646 6087004 9565292 16739261 33478522 66957044