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2670065472 = 26316783273
BaseRepresentation
bin1001111100100101…
…1111011101000000
320220002012101020210
42133021133131000
520432014043342
61120540434120
7123111116304
oct23711373500
96802171223
102670065472
111150200788
12626248940
133372354c9
141b487dd04
1510962079c
hex9f25f740

2670065472 has 56 divisors (see below), whose sum is σ = 7106936256. Its totient is φ = 884681728.

The previous prime is 2670065471. The next prime is 2670065477. The reversal of 2670065472 is 2745600762.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2670065472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2670065471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9573 + ... + 73700.

It is an arithmetic number, because the mean of its divisors is an integer number (126909576).

Almost surely, 22670065472 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 2670065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553468128).

2670065472 is an abundant number, since it is smaller than the sum of its proper divisors (4436870784).

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

2670065472 is a wasteful number, since it uses less digits than its factorization.

2670065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83455 (or 83445 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2670065472 is about 51672.6762612505. The cubic root of 2670065472 is about 1387.3114485769.

The spelling of 2670065472 in words is "two billion, six hundred seventy million, sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 32064 83273 166546 249819 333092 499638 666184 999276 1332368 1998552 2664736 3997104 5329472 7994208 13906591 15988416 27813182 41719773 55626364 83439546 111252728 166879092 222505456 333758184 445010912 667516368 890021824 1335032736 2670065472