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13383825278980 = 22513217376295249
BaseRepresentation
bin1100001011000010101000…
…1001101100100000000100
31202101110222210110221021211
43002300222021230200010
53223240033232411410
644244240000221204
72550643444551352
oct302605211544004
952343883427254
1013383825278980
1142a00594aa862
121601a6000a804
13761121297400
14343acdd747d2
1518322607568a
hexc2c2a26c804

13383825278980 has 144 divisors (see below), whose sum is σ = 33095539386000. Its totient is φ = 4525326434304.

The previous prime is 13383825278969. The next prime is 13383825278983. The reversal of 13383825278980 is 8987252838331.

It can be written as a sum of positive squares in 24 ways, for example, as 5116969733184 + 8266855545796 = 2262072^2 + 2875214^2 .

It is not an unprimeable number, because it can be changed into a prime (13383825278983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1021605 + ... + 5273644.

It is an arithmetic number, because the mean of its divisors is an integer number (229830134625).

Almost surely, 213383825278980 is an apocalyptic number.

13383825278980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13383825278980 is an abundant number, since it is smaller than the sum of its proper divisors (19711714107020).

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

13383825278980 is a wasteful number, since it uses less digits than its factorization.

13383825278980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295338 (or 6295323 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 67.

The spelling of 13383825278980 in words is "thirteen trillion, three hundred eighty-three billion, eight hundred twenty-five million, two hundred seventy-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 169 170 185 221 260 338 340 370 442 481 629 676 740 845 884 962 1105 1258 1690 1924 2210 2405 2516 2873 3145 3380 4420 4810 5746 6253 6290 8177 9620 11492 12506 12580 14365 16354 25012 28730 31265 32708 40885 57460 62530 81770 106301 125060 163540 212602 425204 531505 1063010 2126020 6295249 12590498 25180996 31476245 62952490 81838237 107019233 125904980 163676474 214038466 232924213 327352948 409191185 428076932 465848426 535096165 818382370 931696852 1063897081 1070192330 1164621065 1391250029 1636764740 2127794162 2140384660 2329242130 2782500058 3028014769 3959711621 4255588324 4658484260 5319485405 5565000116 6056029538 6956250145 7919423242 10638970810 12112059076 13912500290 15140073845 15838846484 18086250377 19798558105 21277941620 27825000580 30280147690 36172500754 39364191997 39597116210 51476251073 60560295380 72345001508 78728383994 79194232420 90431251885 102952502146 157456767988 180862503770 196820959985 205905004292 257381255365 361725007540 393641919970 514762510730 669191263949 787283839940 1029525021460 1338382527898 2676765055796 3345956319745 6691912639490 13383825278980