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7071683330382 = 23115952116132161
BaseRepresentation
bin110011011101000000100…
…1011000100000101001110
3221001001020202210110102120
41212322001023010011032
51411330301413033012
623012404140033410
71326624622343466
oct146720113040516
927031222713376
107071683330382
1122870a1977450
12962658532866
133c3b1a733c58
141a63b2634ba6
15c3e3d9be58c
hex66e812c414e

7071683330382 has 128 divisors (see below), whose sum is σ = 15737779837440. Its totient is φ = 2100294144000.

The previous prime is 7071683330381. The next prime is 7071683330431. The reversal of 7071683330382 is 2830333861707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7071683330381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3272411382 + ... + 3272413542.

It is an arithmetic number, because the mean of its divisors is an integer number (122951404980).

Almost surely, 27071683330382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7071683330382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7868889918720).

7071683330382 is an abundant number, since it is smaller than the sum of its proper divisors (8666096507058).

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

7071683330382 is a wasteful number, since it uses less digits than its factorization.

7071683330382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370.

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 7071683330382 in words is "seven trillion, seventy-one billion, six hundred eighty-three million, three hundred thirty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 354 521 649 1042 1298 1563 1613 1947 2161 3126 3226 3894 4322 4839 5731 6483 9678 11462 12966 17193 17743 23771 30739 34386 35486 47542 53229 61478 71313 92217 95167 106458 127499 142626 184434 190334 254998 285501 338129 382497 571002 676258 764994 840373 1014387 1046837 1125881 1402489 1680746 2028774 2093674 2251762 2521119 2804978 3140511 3377643 3485693 4207467 5042238 6281022 6755286 6971386 8414934 9244103 10457079 12384691 18488206 20914158 24769382 27732309 37154073 38342623 49582007 55464618 66426979 74308146 76685246 99164014 115027869 132853958 148746021 199280937 205655887 230055738 297492042 398561874 411311774 545402077 616967661 730696769 1090804154 1233935322 1461393538 1636206231 1816046053 2192090307 2262214757 3272412462 3632092106 4384180614 4524429514 5448138159 6786644271 10896276318 13573288542 19976506583 39953013166 59929519749 107146717127 119859039498 214293434254 321440151381 642880302762 1178613888397 2357227776794 3535841665191 7071683330382