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3129016716 = 22367261359
BaseRepresentation
bin1011101010000001…
…0000000110001100
322002001210112000000
42322200100012030
522402012013331
61234253404300
7140353126500
oct27240200614
98061715000
103129016716
111366280631
12733a99690
133ab3475a7
142197cc300
15134a7b0e6
hexba81018c

3129016716 has 252 divisors, whose sum is σ = 9733908240. Its totient is φ = 876899520.

The previous prime is 3129016711. The next prime is 3129016747. The reversal of 3129016716 is 6176109213.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3129016711) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 8715745 + ... + 8716103.

It is an arithmetic number, because the mean of its divisors is an integer number (38626620).

Almost surely, 23129016716 is an apocalyptic number.

3129016716 is a gapful number since it is divisible by the number (36) 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 3129016716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4866954120).

3129016716 is an abundant number, since it is smaller than the sum of its proper divisors (6604891524).

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

3129016716 is a wasteful number, since it uses less digits than its factorization.

3129016716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3129016716 is about 55937.6145004415. The cubic root of 3129016716 is about 1462.6349981893.

The spelling of 3129016716 in words is "three billion, one hundred twenty-nine million, sixteen thousand, seven hundred sixteen".