Search a number
-
+
130039498992 = 2431310117911527
BaseRepresentation
bin111100100011011110…
…1010100100011110000
3110102122200021000001110
41321012331110203300
54112310102431432
6135423405433320
712252333334524
oct1710675244360
9412580230043
10130039498992
11501709a8327
1221251b6b840
13c355124310
14641882bd84
1535b1566dcc
hex1e46f548f0

130039498992 has 160 divisors (see below), whose sum is σ = 367431482880. Its totient is φ = 39391257600.

The previous prime is 130039498909. The next prime is 130039499011. The reversal of 130039498992 is 299894930031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11275533 + ... + 11287059.

It is an arithmetic number, because the mean of its divisors is an integer number (2296446768).

Almost surely, 2130039498992 is an apocalyptic number.

130039498992 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 130039498992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183715741440).

130039498992 is an abundant number, since it is smaller than the sum of its proper divisors (237391983888).

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

130039498992 is a wasteful number, since it uses less digits than its factorization.

130039498992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11831 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The spelling of 130039498992 in words is "one hundred thirty billion, thirty-nine million, four hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 101 104 156 179 202 208 303 312 358 404 537 606 624 716 808 1074 1212 1313 1432 1616 2148 2327 2424 2626 2864 3939 4296 4654 4848 5252 6981 7878 8592 9308 10504 11527 13962 15756 18079 18616 21008 23054 27924 31512 34581 36158 37232 46108 54237 55848 63024 69162 72316 92216 108474 111696 138324 144632 149851 184432 216948 235027 276648 289264 299702 433896 449553 470054 553296 599404 705081 867792 899106 940108 1164227 1198808 1410162 1798212 1880216 2063333 2328454 2397616 2820324 3492681 3596424 3760432 4126666 4656908 5640648 6189999 6985362 7192848 8253332 9313816 11281296 12379998 13970724 15134951 16506664 18627632 24759996 26823329 27941448 30269902 33013328 45404853 49519992 53646658 55882896 60539804 80469987 90809706 99039984 107293316 121079608 160939974 181619412 208396633 214586632 242159216 321879948 363238824 416793266 429173264 625189899 643759896 726477648 833586532 1250379798 1287519792 1667173064 2500759596 2709156229 3334346128 5001519192 5418312458 8127468687 10003038384 10836624916 16254937374 21673249832 32509874748 43346499664 65019749496 130039498992