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1992670992 = 2432131815881
BaseRepresentation
bin111011011000101…
…1011111100010000
312010212120011201100
41312301123330100
513040110432432
6525421504400
7100244265264
oct16661337420
95125504640
101992670992
119328a1234
12477412100
13259aac480
1414c90c0a4
15b9e1607c
hex76c5bf10

1992670992 has 120 divisors (see below), whose sum is σ = 6039896408. Its totient is φ = 609638400.

The previous prime is 1992670973. The next prime is 1992671003. The reversal of 1992670992 is 2990762991.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 1989516816 = 1776^2 + 44604^2 .

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 23 ways as a sum of consecutive naturals, for example, 335892 + ... + 341772.

Almost surely, 21992670992 is an apocalyptic number.

1992670992 is a gapful number since it is divisible by the number (12) 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 1992670992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019948204).

1992670992 is an abundant number, since it is smaller than the sum of its proper divisors (4047225416).

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

1992670992 is a wasteful number, since it uses less digits than its factorization.

1992670992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6089 (or 6080 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 1992670992 is about 44639.3435435603. The cubic root of 1992670992 is about 1258.3801709313.

The spelling of 1992670992 in words is "one billion, nine hundred ninety-two million, six hundred seventy thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 181 208 234 312 362 468 543 624 724 936 1086 1448 1629 1872 2172 2353 2896 3258 4344 4706 5881 6516 7059 8688 9412 11762 13032 14118 17643 18824 21177 23524 26064 28236 35286 37648 42354 47048 52929 56472 70572 76453 84708 94096 105858 112944 141144 152906 169416 211716 229359 282288 305812 338832 423432 458718 611624 688077 846864 917436 1064461 1223248 1376154 1834872 2128922 2752308 3193383 3669744 4257844 5504616 6386766 8515688 9580149 11009232 12773532 13837993 17031376 19160298 25547064 27675986 38320596 41513979 51094128 55351972 76641192 83027958 110703944 124541937 153282384 166055916 221407888 249083874 332111832 498167748 664223664 996335496 1992670992