Search a number
-
+
152739655380 = 2232513197932983
BaseRepresentation
bin1000111000111111111…
…1100010111011010100
3112121020200121102112100
42032033333202323110
510000302322433010
6154100112522100
714015013435504
oct2161777427324
9477220542470
10152739655380
115985a60a854
1225728250330
131153203b910
14756d587a04
153e8e3992c0
hex238ffe2ed4

152739655380 has 144 divisors (see below), whose sum is σ = 499216798080. Its totient is φ = 37577316096.

The previous prime is 152739655373. The next prime is 152739655391. The reversal of 152739655380 is 83556937251.

152739655380 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 3 + 9 + 6 + 553 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4614369 + ... + 4647351.

It is an arithmetic number, because the mean of its divisors is an integer number (3466783320).

Almost surely, 2152739655380 is an apocalyptic number.

152739655380 is a gapful number since it is divisible by the number (10) 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 152739655380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249608399040).

152739655380 is an abundant number, since it is smaller than the sum of its proper divisors (346477142700).

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

152739655380 is a wasteful number, since it uses less digits than its factorization.

152739655380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34990 (or 34985 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 152739655380 in words is "one hundred fifty-two billion, seven hundred thirty-nine million, six hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1979 2340 3958 5937 7916 9895 11874 17811 19790 23748 25727 29685 32983 35622 39580 51454 59370 65966 71244 77181 89055 98949 102908 118740 128635 131932 154362 164915 178110 197898 231543 257270 296847 308724 329830 356220 385905 395796 428779 463086 494745 514540 593694 659660 771810 857558 926172 989490 1157715 1187388 1286337 1484235 1543620 1715116 1978980 2143895 2315430 2572674 2968470 3859011 4287790 4630860 5145348 5936940 6431685 7718022 8575580 12863370 15436044 19295055 25726740 38590110 65273357 77180220 130546714 195820071 261093428 326366785 391640142 587460213 652733570 783280284 848553641 979100355 1174920426 1305467140 1697107282 1958200710 2349840852 2545660923 2937301065 3394214564 3916401420 4242768205 5091321846 5874602130 7636982769 8485536410 10182643692 11749204260 12728304615 15273965538 16971072820 25456609230 30547931076 38184913845 50913218460 76369827690 152739655380