Search a number
-
+
12153055320 = 233457535849
BaseRepresentation
bin10110101000110000…
…01110100001011000
31011100222010011210000
423110120032201120
5144342140232240
65325534053000
7610110160110
oct132430164130
934328104700
1012153055320
1151770a037a
12243204a160
1311b8a932c3
148340a0040
154b1e05430
hex2d460e858

12153055320 has 160 divisors (see below), whose sum is σ = 46683252000. Its totient is φ = 2777836032.

The previous prime is 12153055309. The next prime is 12153055337. The reversal of 12153055320 is 2355035121.

It is a happy number.

12153055320 is a `hidden beast` number, since 121 + 5 + 3 + 0 + 5 + 532 + 0 = 666.

It is a super-2 number, since 2×121530553202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245245 + ... + 290604.

It is an arithmetic number, because the mean of its divisors is an integer number (291770325).

Almost surely, 212153055320 is an apocalyptic number.

12153055320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12153055320 is an abundant number, since it is smaller than the sum of its proper divisors (34530196680).

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

12153055320 is a wasteful number, since it uses less digits than its factorization.

12153055320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535879 (or 535866 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 12153055320 in words is "twelve billion, one hundred fifty-three million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 11340 22680 535849 1071698 1607547 2143396 2679245 3215094 3750943 4286792 4822641 5358490 6430188 7501886 8037735 9645282 10716980 11252829 12860376 14467923 15003772 16075470 18754715 19290564 21433960 22505658 24113205 28935846 30007544 32150940 33758487 37509430 38581128 43403769 45011316 48226410 56264145 57871692 64301880 67516974 72339615 75018860 86807538 90022632 96452820 101275461 112528290 115743384 135033948 144679230 150037720 168792435 173615076 192905640 202550922 217018845 225056580 270067896 289358460 303826383 337584870 347230152 405101844 434037690 450113160 506377305 578716920 607652766 675169740 810203688 868075380 1012754610 1215305532 1350339480 1519131915 1736150760 2025509220 2430611064 3038263830 4051018440 6076527660 12153055320