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330940996232 = 237117112759581
BaseRepresentation
bin1001101000011011001…
…11101101101010001000
31011122012211212111021112
410310031213231222020
520410231343334412
6412010542025452
732624012024420
oct4641547555210
91148184774245
10330940996232
11118395623770
125417b578288
13252911424c2
1412036539480
15891dc11722
hex4d0d9eda88

330940996232 has 128 divisors (see below), whose sum is σ = 790715105280. Its totient is φ = 126118944000.

The previous prime is 330940996229. The next prime is 330940996289. The reversal of 330940996232 is 232699049033.

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, 5524682 + ... + 5584262.

It is an arithmetic number, because the mean of its divisors is an integer number (6177461760).

Almost surely, 2330940996232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330940996232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395357552640).

330940996232 is an abundant number, since it is smaller than the sum of its proper divisors (459774109048).

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

330940996232 is a wasteful number, since it uses less digits than its factorization.

330940996232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59803 (or 59799 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 50.

The spelling of 330940996232 in words is "three hundred thirty billion, nine hundred forty million, nine hundred ninety-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 127 142 154 254 284 308 497 508 568 616 781 889 994 1016 1397 1562 1778 1988 2794 3124 3556 3976 5467 5588 6248 7112 9017 9779 10934 11176 18034 19558 21868 36068 39116 43736 59581 63119 72136 78232 99187 119162 126238 198374 238324 252476 396748 417067 476648 504952 655391 694309 793496 834134 1310782 1388618 1668268 2621564 2777236 3336536 4230251 4587737 5243128 5554472 7566787 8460502 9175474 15133574 16921004 18350948 29611757 30267148 33842008 36701896 46532761 52967509 59223514 60534296 83234657 93065522 105935018 118447028 166469314 186131044 211870036 236894056 325729327 332938628 372262088 423740072 537241877 582642599 651458654 665877256 1074483754 1165285198 1302917308 2148967508 2330570396 2605834616 3760693139 4297935016 4661140792 5909660647 7521386278 11819321294 15042772556 23638642588 30085545112 41367624529 47277285176 82735249058 165470498116 330940996232