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66550464 = 2633192027
BaseRepresentation
bin1111110111011…
…1101011000000
311122020010002000
43331313223000
5114014103324
610334224000
71435445451
oct375675300
9148203060
1066550464
1134625392
121a355000
1310a31696
148ba5128
155c989c9
hex3f77ac0

66550464 has 112 divisors (see below), whose sum is σ = 206044800. Its totient is φ = 21005568.

The previous prime is 66550441. The next prime is 66550481. The reversal of 66550464 is 46405566.

It is a happy number.

66550464 is a `hidden beast` number, since 66 + 550 + 46 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31819 + ... + 33845.

Almost surely, 266550464 is an apocalyptic number.

66550464 is a gapful number since it is divisible by the number (64) 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 66550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103022400).

66550464 is an abundant number, since it is smaller than the sum of its proper divisors (139494336).

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

66550464 is a wasteful number, since it uses less digits than its factorization.

66550464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 66550464 is about 8157.8467747317. The cubic root of 66550464 is about 405.2444066613.

The spelling of 66550464 in words is "sixty-six million, five hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2027 2052 2736 3648 4054 4104 5472 6081 8108 8208 10944 12162 16216 16416 18243 24324 32432 32832 36486 38513 48648 54729 64864 72972 77026 97296 109458 115539 129728 145944 154052 194592 218916 231078 291888 308104 346617 389184 437832 462156 583776 616208 693234 875664 924312 1039851 1167552 1232416 1386468 1751328 1848624 2079702 2464832 2772936 3502656 3697248 4159404 5545872 7394496 8318808 11091744 16637616 22183488 33275232 66550464