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2706195912 = 233756709
BaseRepresentation
bin1010000101001101…
…0100010111001000
320222121011222220020
42201103110113020
521020241232122
61124311100440
7124030200000
oct24123242710
96877158806
102706195912
111169639052
12636371720
13341875974
141b95a7000
1510c8aac5c
hexa14d45c8

2706195912 has 96 divisors (see below), whose sum is σ = 7894180800. Its totient is φ = 773083584.

The previous prime is 2706195911. The next prime is 2706195913. The reversal of 2706195912 is 2195916072.

It is an interprime number because it is at equal distance from previous prime (2706195911) and next prime (2706195913).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2706195911) 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 23 ways as a sum of consecutive naturals, for example, 400014 + ... + 406722.

It is an arithmetic number, because the mean of its divisors is an integer number (82231050).

Almost surely, 22706195912 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 2706195912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3947090400).

2706195912 is an abundant number, since it is smaller than the sum of its proper divisors (5187984888).

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

2706195912 is an frugal number, since it uses more digits than its factorization.

2706195912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 2706195912 is about 52021.1102534346. The cubic root of 2706195912 is about 1393.5409799173.

The spelling of 2706195912 in words is "two billion, seven hundred six million, one hundred ninety-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2401 2744 4116 4802 6709 7203 8232 9604 13418 14406 16807 19208 20127 26836 28812 33614 40254 46963 50421 53672 57624 67228 80508 93926 100842 134456 140889 161016 187852 201684 281778 328741 375704 403368 563556 657482 986223 1127112 1314964 1972446 2301187 2629928 3944892 4602374 6903561 7889784 9204748 13807122 16108309 18409496 27614244 32216618 48324927 55228488 64433236 96649854 112758163 128866472 193299708 225516326 338274489 386599416 451032652 676548978 902065304 1353097956 2706195912