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2006070444270 = 2325113389507079
BaseRepresentation
bin11101001100010011000…
…111011100000011101110
321002210000111110101000100
4131030103013130003232
5230331413013204040
64133324231411530
7264635203300224
oct35142307340356
97083014411010
102006070444270
11703851516482
12284958b23ba6
131172300c5c29
146d146b98b14
15372b0dccb30
hex1d3131dc0ee

2006070444270 has 96 divisors (see below), whose sum is σ = 5275477771200. Its totient is φ = 528853957632.

The previous prime is 2006070444269. The next prime is 2006070444271. The reversal of 2006070444270 is 724440706002.

It is a happy number.

2006070444270 is a `hidden beast` number, since 2 + 0 + 0 + 607 + 0 + 4 + 4 + 42 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2006070444269) and next prime (2006070444271).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006070444271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3702591 + ... + 4209669.

It is an arithmetic number, because the mean of its divisors is an integer number (54952893450).

Almost surely, 22006070444270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006070444270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637738885600).

2006070444270 is an abundant number, since it is smaller than the sum of its proper divisors (3269407326930).

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

2006070444270 is a wasteful number, since it uses less digits than its factorization.

2006070444270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507594 (or 507591 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 2006070444270 in words is "two trillion, six billion, seventy million, four hundred forty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 389 565 678 778 1017 1130 1167 1695 1945 2034 2334 3390 3501 3890 5085 5835 7002 10170 11670 17505 35010 43957 87914 131871 219785 263742 395613 439570 507079 659355 791226 1014158 1318710 1521237 1978065 2535395 3042474 3956130 4563711 5070790 7606185 9127422 15212370 22818555 45637110 57299927 114599854 171899781 197253731 286499635 343799562 394507462 515699343 572999270 591761193 859498905 986268655 1031398686 1183522386 1718997810 1775283579 1972537310 2578496715 2958805965 3550567158 5156993430 5917611930 8876417895 17752835790 22289671603 44579343206 66869014809 111448358015 133738029618 200607044427 222896716030 334345074045 401214088854 668690148090 1003035222135 2006070444270