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66450816 = 2732371559
BaseRepresentation
bin1111110101111…
…1010110000000
311122001001101100
43331133112000
5114002411231
610332134400
71434552105
oct375372600
9148031340
1066450816
1134567533
121a307400
13109c8213
148b7aaac
155c791e6
hex3f5f580

66450816 has 96 divisors (see below), whose sum is σ = 196513200. Its totient is φ = 21537792.

The previous prime is 66450799. The next prime is 66450821. The reversal of 66450816 is 61805466.

66450816 is a `hidden beast` number, since 6 + 645 + 0 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41845 + ... + 43403.

Almost surely, 266450816 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 66450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98256600).

66450816 is an abundant number, since it is smaller than the sum of its proper divisors (130062384).

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

66450816 is a wasteful number, since it uses less digits than its factorization.

66450816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66450816 is about 8151.7369928132. The cubic root of 66450816 is about 405.0420441034.

The spelling of 66450816 in words is "sixty-six million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1559 1776 2368 2664 3118 3552 4677 4736 5328 6236 7104 9354 10656 12472 14031 14208 18708 21312 24944 28062 37416 42624 49888 56124 57683 74832 99776 112248 115366 149664 173049 199552 224496 230732 299328 346098 448992 461464 519147 598656 692196 897984 922928 1038294 1384392 1795968 1845856 2076588 2768784 3691712 4153176 5537568 7383424 8306352 11075136 16612704 22150272 33225408 66450816