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66894144 = 263348407
BaseRepresentation
bin1111111100101…
…1100101000000
311122212120111220
43333023211000
5114111103034
610345435040
71441406442
oct377134500
9148776456
1066894144
113483a619
121a49ba80
1310b21c45
148c54492
155d15749
hex3fcb940

66894144 has 28 divisors (see below), whose sum is σ = 176991264. Its totient is φ = 22297984.

The previous prime is 66894137. The next prime is 66894169. The reversal of 66894144 is 44149866.

It is a junction number, because it is equal to n+sod(n) for n = 66894096 and 66894105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174012 + ... + 174395.

Almost surely, 266894144 is an apocalyptic number.

66894144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66894144 is an abundant number, since it is smaller than the sum of its proper divisors (110097120).

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

66894144 is a wasteful number, since it uses less digits than its factorization.

66894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348422 (or 348412 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 66894144 is about 8178.8840314556. The cubic root of 66894144 is about 405.9407971785.

The spelling of 66894144 in words is "sixty-six million, eight hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 348407 696814 1045221 1393628 2090442 2787256 4180884 5574512 8361768 11149024 16723536 22298048 33447072 66894144