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330232012032 = 28313163202921
BaseRepresentation
bin1001100111000110101…
…11001001110100000000
31011120101102210100210110
410303203113021310000
520402303343341112
6411412334031320
732600312534166
oct4634327116400
91146342710713
10330232012032
111180613a840a
1254002048540
13251aa2a8a20
1411daa303236
1588cb86713c
hex4ce35c9d00

330232012032 has 144 divisors (see below), whose sum is σ = 952317816128. Its totient is φ = 100985978880.

The previous prime is 330232011979. The next prime is 330232012043. The reversal of 330232012032 is 230210232033.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1525932 + ... + 1728852.

Almost surely, 2330232012032 is an apocalyptic number.

330232012032 is a gapful number since it is divisible by the number (32) 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 330232012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476158908064).

330232012032 is an abundant number, since it is smaller than the sum of its proper divisors (622085804096).

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

330232012032 is a wasteful number, since it uses less digits than its factorization.

330232012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203116 (or 203102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 330232012032 its reverse (230210232033), we get a palindrome (560442244065).

The spelling of 330232012032 in words is "three hundred thirty billion, two hundred thirty-two million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 163 192 208 256 312 326 384 416 489 624 652 768 832 978 1248 1304 1664 1956 2119 2496 2608 3328 3912 4238 4992 5216 6357 7824 8476 9984 10432 12714 15648 16952 20864 25428 31296 33904 41728 50856 62592 67808 101712 125184 135616 202921 203424 271232 405842 406848 542464 608763 811684 813696 1217526 1623368 1627392 2435052 2637973 3246736 4870104 5275946 6493472 7913919 9740208 10551892 12986944 15827838 19480416 21103784 25973888 31655676 33076123 38960832 42207568 51947776 63311352 66152246 77921664 84415136 99228369 126622704 132304492 155843328 168830272 198456738 253245408 264608984 337660544 396913476 429989599 506490816 529217968 675321088 793826952 859979198 1012981632 1058435936 1289968797 1587653904 1719958396 2025963264 2116871872 2579937594 3175307808 3439916792 4233743744 5159875188 6350615616 6879833584 8467487488 10319750376 12701231232 13759667168 20639500752 25402462464 27519334336 41279001504 55038668672 82558003008 110077337344 165116006016 330232012032