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64866816 = 293272011
BaseRepresentation
bin1111011101110…
…0101000000000
311112001120112200
43313130220000
5113101214231
610234153200
71415234040
oct367345000
9145046480
1064866816
1133685443
1219882800
1310592241
148887720
155a64be6
hex3ddca00

64866816 has 120 divisors (see below), whose sum is σ = 214060704. Its totient is φ = 18524160.

The previous prime is 64866811. The next prime is 64866827. The reversal of 64866816 is 61866846.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (64866811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31251 + ... + 33261.

Almost surely, 264866816 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 64866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107030352).

64866816 is an abundant number, since it is smaller than the sum of its proper divisors (149193888).

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

64866816 is a wasteful number, since it uses less digits than its factorization.

64866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2023 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 64866816 is about 8053.9937919023. The cubic root of 64866816 is about 401.7977745781.

The spelling of 64866816 in words is "sixty-four million, eight hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2011 2016 2304 2688 3584 4022 4032 4608 5376 6033 8044 8064 10752 12066 14077 16088 16128 18099 24132 28154 32176 32256 36198 42231 48264 56308 64352 72396 84462 96528 112616 126693 128704 144792 168924 193056 225232 253386 257408 289584 337848 386112 450464 506772 514816 579168 675696 772224 900928 1013544 1029632 1158336 1351392 1544448 1801856 2027088 2316672 2702784 3088896 3603712 4054176 4633344 5405568 7207424 8108352 9266688 10811136 16216704 21622272 32433408 64866816