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3939272064 = 273271353709
BaseRepresentation
bin1110101011001100…
…1000010110000000
3101011112102202101100
43222303020112000
531031423201224
61450520134400
7166422155130
oct35263102600
911145382340
103939272064
111741686452
1291b307400
134aa17b320
14295266ac0
15180c7bac9
hexeacc8580

3939272064 has 384 divisors, whose sum is σ = 14234875200. Its totient is φ = 1017888768.

The previous prime is 3939272059. The next prime is 3939272069. The reversal of 3939272064 is 4602729393.

It is an interprime number because it is at equal distance from previous prime (3939272059) and next prime (3939272069).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3939272069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5555742 + ... + 5556450.

Almost surely, 23939272064 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 3939272064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117437600).

3939272064 is an abundant number, since it is smaller than the sum of its proper divisors (10295603136).

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

3939272064 is a wasteful number, since it uses less digits than its factorization.

3939272064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3939272064 is about 62763.6205456632. The cubic root of 3939272064 is about 1579.3267526362.

The spelling of 3939272064 in words is "three billion, nine hundred thirty-nine million, two hundred seventy-two thousand, sixty-four".