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66768816 = 24323197307
BaseRepresentation
bin1111111010110…
…0111110110000
311122122012121010
43332230332300
5114043100231
610343030520
71440345162
oct376547660
9148565533
1066768816
1134764444
121a43b440
1310aa9b9a
148c20932
155cdd546
hex3facfb0

66768816 has 80 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 21111552.

The previous prime is 66768797. The next prime is 66768851. The reversal of 66768816 is 61886766.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217335 + ... + 217641.

Almost surely, 266768816 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 66768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

66768816 is an abundant number, since it is smaller than the sum of its proper divisors (114719568).

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

66768816 is a wasteful number, since it uses less digits than its factorization.

66768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 66768816 is about 8171.2187585451. The cubic root of 66768816 is about 405.6871249801.

The spelling of 66768816 in words is "sixty-six million, seven hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 197 276 307 368 394 552 591 614 788 921 1104 1182 1228 1576 1842 2364 2456 3152 3684 4531 4728 4912 7061 7368 9062 9456 13593 14122 14736 18124 21183 27186 28244 36248 42366 54372 56488 60479 72496 84732 108744 112976 120958 169464 181437 217488 241916 338928 362874 483832 725748 967664 1391017 1451496 2782034 2902992 4173051 5564068 8346102 11128136 16692204 22256272 33384408 66768816