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20832240328760 = 2357433315227349
BaseRepresentation
bin1001011110010011000100…
…10010001110000000111000
32201202112122122110122022202
410233021202102032000320
510212303412011010020
6112150111000405332
74250036223056330
oct457114222160070
981675578418282
1020832240328760
1167019a362aa33
122405517176848
13b81619807203
145204003a60c0
15261d637d7e75
hex12f26248e038

20832240328760 has 128 divisors (see below), whose sum is σ = 54980012736000. Its totient is φ = 6955300154880.

The previous prime is 20832240328703. The next prime is 20832240328769. The reversal of 20832240328760 is 6782304223802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20832240328769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371566 + ... + 6598914.

It is an arithmetic number, because the mean of its divisors is an integer number (429531349500).

Almost surely, 220832240328760 is an apocalyptic number.

20832240328760 is a gapful number since it is divisible by the number (20) 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 20832240328760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27490006368000).

20832240328760 is an abundant number, since it is smaller than the sum of its proper divisors (34147772407240).

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

20832240328760 is a wasteful number, since it uses less digits than its factorization.

20832240328760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227741 (or 5227737 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 20832240328760 in words is "twenty trillion, eight hundred thirty-two billion, two hundred forty million, three hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 331 344 430 602 662 860 1204 1324 1505 1655 1720 2317 2408 2648 3010 3310 4634 6020 6620 9268 11585 12040 13240 14233 18536 23170 28466 46340 56932 71165 92680 99631 113864 142330 199262 284660 398524 498155 569320 797048 996310 1992620 3985240 5227349 10454698 20909396 26136745 36591443 41818792 52273490 73182886 104546980 146365772 182957215 209093960 224776007 292731544 365914430 449552014 731828860 899104028 1123880035 1463657720 1573432049 1730252519 1798208056 2247760070 3146864098 3460505038 4495520140 6293728196 6921010076 7867160245 8651262595 8991040280 12111767633 12587456392 13842020152 15734320490 17302525190 24223535266 31468640980 34605050380 48447070532 60558838165 62937281960 69210100760 74400858317 96894141064 121117676330 148801716634 242235352660 297603433268 372004291585 484470705320 520806008219 595206866536 744008583170 1041612016438 1488017166340 2083224032876 2604030041095 2976034332680 4166448065752 5208060082190 10416120164380 20832240328760