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2009885472 = 25327996967
BaseRepresentation
bin111011111001100…
…0110101100100000
312012001221202112200
41313303012230200
513104012313342
6531234453200
7100543513260
oct16763065440
95161852480
102009885472
11941589781
12481134200
13260528a5a
14150d0d7a0
15bb6b694c
hex77cc6b20

2009885472 has 72 divisors (see below), whose sum is σ = 6532134336. Its totient is φ = 574252416.

The previous prime is 2009885431. The next prime is 2009885533. The reversal of 2009885472 is 2745889002.

2009885472 is a `hidden beast` number, since 20 + 0 + 9 + 88 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20098854722 = 8079279221113325568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496468 + ... + 500499.

It is an arithmetic number, because the mean of its divisors is an integer number (90724088).

Almost surely, 22009885472 is an apocalyptic number.

It is an amenable number.

2009885472 is an abundant number, since it is smaller than the sum of its proper divisors (4522248864).

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

2009885472 is a wasteful number, since it uses less digits than its factorization.

2009885472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996990 (or 996979 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2009885472 is about 44831.7462519586. The cubic root of 2009885472 is about 1261.9934582238.

It can be divided in two parts, 20098 and 85472, that added together give a triangular number (105570 = T459).

The spelling of 2009885472 in words is "two billion, nine million, eight hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 996967 1993934 2990901 3987868 5981802 6978769 7975736 8972703 11963604 13957538 15951472 17945406 20936307 23927208 27915076 31902944 35890812 41872614 47854416 55830152 62808921 71781624 83745228 95708832 111660304 125617842 143563248 167490456 223320608 251235684 287126496 334980912 502471368 669961824 1004942736 2009885472