Search a number
-
+
66896016 = 24311316167
BaseRepresentation
bin1111111100110…
…0000010010000
311122212200002020
43333030002100
5114111133031
610345451440
71441415055
oct377140220
9148780066
1066896016
1134840a70
121a4a0b80
1310b22a55
148c5502c
155d16096
hex3fcc090

66896016 has 160 divisors (see below), whose sum is σ = 200749056. Its totient is φ = 19008000.

The previous prime is 66896009. The next prime is 66896021. The reversal of 66896016 is 61069866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998415 + ... + 998481.

Almost surely, 266896016 is an apocalyptic number.

66896016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66896016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100374528).

66896016 is an abundant number, since it is smaller than the sum of its proper divisors (133853040).

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

66896016 is a wasteful number, since it uses less digits than its factorization.

66896016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66896016 is about 8178.9984716957. The cubic root of 66896016 is about 405.9445838283.

The spelling of 66896016 in words is "sixty-six million, eight hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 61 62 66 67 88 93 122 124 132 134 176 183 186 201 244 248 264 268 341 366 372 402 488 496 528 536 671 682 732 737 744 804 976 1023 1072 1342 1364 1464 1474 1488 1608 1891 2013 2046 2077 2211 2684 2728 2928 2948 3216 3782 4026 4087 4092 4154 4422 5368 5456 5673 5896 6231 7564 8052 8174 8184 8308 8844 10736 11346 11792 12261 12462 15128 16104 16348 16368 16616 17688 20801 22692 22847 24522 24924 30256 32208 32696 33232 35376 41602 44957 45384 45694 49044 49848 62403 65392 68541 83204 89914 90768 91388 98088 99696 124806 126697 134871 137082 166408 179828 182776 196176 249612 253394 269742 274164 332816 359656 365552 380091 499224 506788 539484 548328 719312 760182 998448 1013576 1078968 1096656 1393667 1520364 2027152 2157936 2787334 3040728 4181001 5574668 6081456 8362002 11149336 16724004 22298672 33448008 66896016