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66878336 = 277210663
BaseRepresentation
bin1111111100011…
…1101110000000
311122211202211102
43333013232000
5114110101321
610345233532
71441312400
oct377075600
9148752742
1066878336
1134829758
121a4928a8
1310b179a5
148c4c800
155d10c0b
hex3fc7b80

66878336 has 48 divisors (see below), whose sum is σ = 155001240. Its totient is φ = 28659456.

The previous prime is 66878333. The next prime is 66878341. The reversal of 66878336 is 63387866.

It is a super-2 number, since 2×668783362 = 8945423652257792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66878333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 941 + ... + 11603.

Almost surely, 266878336 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 66878336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77500620).

66878336 is an abundant number, since it is smaller than the sum of its proper divisors (88122904).

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

66878336 is a wasteful number, since it uses less digits than its factorization.

66878336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10672 counting only the distinct ones).

The product of its digits is 870912, while the sum is 47.

The square root of 66878336 is about 8177.9175833460. The cubic root of 66878336 is about 405.9088182075.

The spelling of 66878336 in words is "sixty-six million, eight hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 3136 6272 10663 21326 42652 74641 85304 149282 170608 298564 341216 522487 597128 682432 1044974 1194256 1364864 2089948 2388512 4179896 4777024 8359792 9554048 16719584 33439168 66878336