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2161987728 = 243416311741
BaseRepresentation
bin1000000011011101…
…0101000010010000
312120200011100121120
42000313111002100
513411432101403
6554310522240
7104401410135
oct20067250220
95520140546
102161987728
11a0a42741a
12504066380
13285bb27a4
141671c458c
15c9c0de53
hex80dd5090

2161987728 has 80 divisors (see below), whose sum is σ = 5733716352. Its totient is φ = 701568000.

The previous prime is 2161987679. The next prime is 2161987753. The reversal of 2161987728 is 8277891612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240938 + ... + 1242678.

Almost surely, 22161987728 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 2161987728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866858176).

2161987728 is an abundant number, since it is smaller than the sum of its proper divisors (3571728624).

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

2161987728 is a wasteful number, since it uses less digits than its factorization.

2161987728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2418 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 2161987728 is about 46497.1797854451. The cubic root of 2161987728 is about 1293.0572137600.

The spelling of 2161987728 in words is "two billion, one hundred sixty-one million, nine hundred eighty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 631 656 984 1262 1741 1893 1968 2524 3482 3786 5048 5223 6964 7572 10096 10446 13928 15144 20892 25871 27856 30288 41784 51742 71381 77613 83568 103484 142762 155226 206968 214143 285524 310452 413936 428286 571048 620904 856572 1098571 1142096 1241808 1713144 2197142 3295713 3426288 4394284 6591426 8788568 13182852 17577136 26365704 45041411 52731408 90082822 135124233 180165644 270248466 360331288 540496932 720662576 1080993864 2161987728