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2971206912 = 28319919441
BaseRepresentation
bin1011000100011001…
…0000010100000000
321200001211221122110
42301012100110000
522041112110122
61210455135320
7133425561552
oct26106202400
97601757573
102971206912
111295194803
126ab074540
133847429cb
1420286d4d2
15125ca790c
hexb1190500

2971206912 has 72 divisors (see below), whose sum is σ = 7947889600. Its totient is φ = 985374720.

The previous prime is 2971206899. The next prime is 2971206961. The reversal of 2971206912 is 2196021792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143112 + ... + 162552.

Almost surely, 22971206912 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 2971206912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973944800).

2971206912 is an abundant number, since it is smaller than the sum of its proper divisors (4976682688).

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

2971206912 is a wasteful number, since it uses less digits than its factorization.

2971206912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19659 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2971206912 is about 54508.7783022148. The cubic root of 2971206912 is about 1437.6206385660.

The spelling of 2971206912 in words is "two billion, nine hundred seventy-one million, two hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 597 768 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 19441 25472 38208 38882 50944 58323 76416 77764 116646 152832 155528 233292 311056 466584 622112 933168 1244224 1866336 2488448 3732672 3868759 4976896 7465344 7737518 11606277 14930688 15475036 23212554 30950072 46425108 61900144 92850216 123800288 185700432 247600576 371400864 495201152 742801728 990402304 1485603456 2971206912