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2128746984 = 2337213210711
BaseRepresentation
bin111111011100010…
…0001100111101000
312111100121112212220
41332320201213220
513324424400414
6551122234040
7103516023300
oct17670414750
95440545786
102128746984
119a2693131
124b4ab5920
1327c044700
14162a10600
15c6d44ca9
hex7ee219e8

2128746984 has 144 divisors (see below), whose sum is σ = 6704212320. Its totient is φ = 561375360.

The previous prime is 2128746959. The next prime is 2128747009. The reversal of 2128746984 is 4896478212.

It is an interprime number because it is at equal distance from previous prime (2128746959) and next prime (2128747009).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 193389 + ... + 204099.

It is an arithmetic number, because the mean of its divisors is an integer number (46557030).

Almost surely, 22128746984 is an apocalyptic number.

2128746984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128746984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352106160).

2128746984 is an abundant number, since it is smaller than the sum of its proper divisors (4575465336).

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

2128746984 is a wasteful number, since it uses less digits than its factorization.

2128746984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10736 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 2128746984 is about 46138.3461342081. The cubic root of 2128746984 is about 1286.3960026778.

The spelling of 2128746984 in words is "two billion, one hundred twenty-eight million, seven hundred forty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 294 312 338 364 392 507 546 588 637 676 728 1014 1092 1176 1183 1274 1352 1911 2028 2184 2366 2548 3549 3822 4056 4732 5096 7098 7644 8281 9464 10711 14196 15288 16562 21422 24843 28392 32133 33124 42844 49686 64266 66248 74977 85688 99372 128532 139243 149954 198744 224931 257064 278486 299908 417729 449862 524839 556972 599816 835458 899724 974701 1049678 1113944 1574517 1670916 1799448 1810159 1949402 2099356 2924103 3149034 3341832 3620318 3898804 4198712 5430477 5848206 6298068 6822907 7240636 7797608 10860954 11696412 12596136 12671113 13645814 14481272 20468721 21721908 23392824 25342226 27291628 38013339 40937442 43443816 50684452 54583256 76026678 81874884 88697791 101368904 152053356 163749768 177395582 266093373 304106712 354791164 532186746 709582328 1064373492 2128746984