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2128832496 = 243373122709
BaseRepresentation
bin111111011100011…
…0110011111110000
312111100202220012000
41332320312133300
513324440114441
6551124134000
7103516530510
oct17670663760
95440686160
102128832496
119a27413aa
124b4b37300
1327c0745cb
14162a33840
15c6d602b6
hex7ee367f0

2128832496 has 160 divisors (see below), whose sum is σ = 7209062400. Its totient is φ = 588591360.

The previous prime is 2128832491. The next prime is 2128832507. The reversal of 2128832496 is 6942388212.

2128832496 is a `hidden beast` number, since 2 + 128 + 8 + 32 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128832491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82390 + ... + 105098.

It is an arithmetic number, because the mean of its divisors is an integer number (45056640).

Almost surely, 22128832496 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 2128832496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604531200).

2128832496 is an abundant number, since it is smaller than the sum of its proper divisors (5080229904).

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

2128832496 is a wasteful number, since it uses less digits than its factorization.

2128832496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22764 (or 22752 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2128832496 is about 46139.2728161162. The cubic root of 2128832496 is about 1286.4132273367.

The spelling of 2128832496 in words is "two billion, one hundred twenty-eight million, eight hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 22709 23436 31248 45418 46872 68127 90836 93744 136254 158963 181672 204381 272508 317926 363344 408762 476889 545016 613143 635852 703979 817524 953778 1090032 1226286 1271704 1407958 1430667 1635048 1907556 2111937 2452572 2543408 2815916 2861334 3270096 3815112 4223874 4292001 4905144 4927853 5631832 5722668 6335811 7630224 8447748 8584002 9810288 9855706 11263664 11445336 12671622 14783559 16895496 17168004 19007433 19711412 22890672 25343244 29567118 33790992 34336008 38014866 39422824 44350677 50686488 59134236 68672016 76029732 78845648 88701354 101372976 118268472 133052031 152059464 177402708 236536944 266104062 304118928 354805416 532208124 709610832 1064416248 2128832496