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2066009472 = 273215711423
BaseRepresentation
bin111101100100100…
…1100110110000000
312022222120011012100
41323021030312000
513212344300342
6541001430400
7102124535142
oct17311146600
95288504170
102066009472
1197023254a
12497a9b400
1326c049717
1415855cc92
15c15a0e4c
hex7b24cd80

2066009472 has 96 divisors (see below), whose sum is σ = 5983548480. Its totient is φ = 684223488.

The previous prime is 2066009467. The next prime is 2066009489. The reversal of 2066009472 is 2749006602.

It is a happy number.

2066009472 is a `hidden beast` number, since 2 + 0 + 6 + 600 + 9 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 175153 + ... + 186575.

It is an arithmetic number, because the mean of its divisors is an integer number (62328630).

Almost surely, 22066009472 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 2066009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991774240).

2066009472 is an abundant number, since it is smaller than the sum of its proper divisors (3917539008).

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

2066009472 is a wasteful number, since it uses less digits than its factorization.

2066009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11600 (or 11585 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2066009472 is about 45453.3769042521. The cubic root of 2066009472 is about 1273.6324122876.

The spelling of 2066009472 in words is "two billion, sixty-six million, nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 288 314 384 471 576 628 942 1152 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 11423 15072 20096 22608 22846 30144 34269 45216 45692 60288 68538 90432 91384 102807 137076 180864 182768 205614 274152 365536 411228 548304 731072 822456 1096608 1462144 1644912 1793411 2193216 3289824 3586822 4386432 5380233 6579648 7173644 10760466 13159296 14347288 16140699 21520932 28694576 32281398 43041864 57389152 64562796 86083728 114778304 129125592 172167456 229556608 258251184 344334912 516502368 688669824 1033004736 2066009472