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2006873472 = 27340113033
BaseRepresentation
bin111011110011110…
…0111010110000000
312011212021201212010
41313213213112000
513102224422342
6531050132520
7100506100032
oct16747472600
95155251763
102006873472
1193a91181a
12480121140
1325ca12ac6
14150767c52
15bb2be29c
hex779e7580

2006873472 has 64 divisors (see below), whose sum is σ = 5344461360. Its totient is φ = 667238400.

The previous prime is 2006873437. The next prime is 2006873483. The reversal of 2006873472 is 2743786002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×20068734722 = 8055082265234669568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2006873472.

It is a congruent number.

It is an unprimeable number.

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, 147468 + ... + 160500.

Almost surely, 22006873472 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 2006873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672230680).

2006873472 is an abundant number, since it is smaller than the sum of its proper divisors (3337587888).

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

2006873472 is a wasteful number, since it uses less digits than its factorization.

2006873472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13439 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2006873472 is about 44798.1413900175. The cubic root of 2006873472 is about 1261.3627382630.

The spelling of 2006873472 in words is "two billion, six million, eight hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 401 802 1203 1604 2406 3208 4812 6416 9624 12832 13033 19248 25664 26066 38496 39099 51328 52132 76992 78198 104264 153984 156396 208528 312792 417056 625584 834112 1251168 1668224 2502336 5004672 5226233 10452466 15678699 20904932 31357398 41809864 62714796 83619728 125429592 167239456 250859184 334478912 501718368 668957824 1003436736 2006873472