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64213056 = 26322337131
BaseRepresentation
bin1111010011110…
…1000001000000
311110211100202100
43310331001000
5112414304211
610212150400
71406542035
oct364750100
9143740670
1064213056
1133279246
1219608400
13103c37bb
14875738c
155986156
hex3d3d040

64213056 has 168 divisors, whose sum is σ = 198753984. Its totient is φ = 19768320.

The previous prime is 64213043. The next prime is 64213067. The reversal of 64213056 is 65031246.

64213056 is a `hidden beast` number, since 642 + 13 + 0 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490111 + ... + 490241.

Almost surely, 264213056 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 64213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99376992).

64213056 is an abundant number, since it is smaller than the sum of its proper divisors (134540928).

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

64213056 is a wasteful number, since it uses less digits than its factorization.

64213056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 64213056 is about 8013.3049361671. The cubic root of 64213056 is about 400.4433750315.

The spelling of 64213056 in words is "sixty-four million, two hundred thirteen thousand, fifty-six".