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2161441152 = 27331348109
BaseRepresentation
bin1000000011010100…
…1111100110000000
312120122010120212000
42000311033212000
513411312104102
6554251104000
7104363642463
oct20065174600
95518116760
102161441152
11a0a093802
12503a42000
13285a50a80
141670c12da
15c9b5201c
hex80d4f980

2161441152 has 128 divisors (see below), whose sum is σ = 6870108000. Its totient is φ = 665044992.

The previous prime is 2161441147. The next prime is 2161441153. The reversal of 2161441152 is 2511441612.

2161441152 is a `hidden beast` number, since 2 + 1 + 614 + 41 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161441153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20874 + ... + 68982.

Almost surely, 22161441152 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 2161441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435054000).

2161441152 is an abundant number, since it is smaller than the sum of its proper divisors (4708666848).

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

2161441152 is a wasteful number, since it uses less digits than its factorization.

2161441152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48145 (or 48127 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2161441152 is about 46491.3018961612. The cubic root of 2161441152 is about 1292.9482378706.

Adding to 2161441152 its reverse (2511441612), we get a palindrome (4672882764).

The spelling of 2161441152 in words is "two billion, one hundred sixty-one million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 48109 96218 144327 192436 288654 384872 432981 577308 625417 769744 865962 1154616 1250834 1298943 1539488 1731924 1876251 2309232 2501668 2597886 3078976 3463848 3752502 4618464 5003336 5195772 5628753 6157952 6927696 7505004 9236928 10006672 10391544 11257506 13855392 15010008 16886259 18473856 20013344 20783088 22515012 27710784 30020016 33772518 40026688 41566176 45030024 55421568 60040032 67545036 80053376 83132352 90060048 120080064 135090072 166264704 180120096 240160128 270180144 360240192 540360288 720480384 1080720576 2161441152