Search a number
-
+
8136396496384 = 291323471130819
BaseRepresentation
bin111011001100110011100…
…0001011101111000000000
31001210211110110110022221121
41312121213001131320000
52031301320000341014
625145450422202024
71466556330052132
oct166314701357000
931724413408847
108136396496384
112657698785812
12ab4a7a883314
13470349a4a3a0
14201b37489052
15e19a6632124
hex7666705de00

8136396496384 has 160 divisors (see below), whose sum is σ = 18657335854080. Its totient is φ = 3515559370752.

The previous prime is 8136396496369. The next prime is 8136396496399. The reversal of 8136396496384 is 4836946936318.

It is an interprime number because it is at equal distance from previous prime (8136396496369) and next prime (8136396496399).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6629727 + ... + 7760545.

It is an arithmetic number, because the mean of its divisors is an integer number (116608349088).

Almost surely, 28136396496384 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 8136396496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9328667927040).

8136396496384 is an abundant number, since it is smaller than the sum of its proper divisors (10520939357696).

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

8136396496384 is a wasteful number, since it uses less digits than its factorization.

8136396496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130920 (or 1130904 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 70.

The spelling of 8136396496384 in words is "eight trillion, one hundred thirty-six billion, three hundred ninety-six million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 47 52 64 92 94 104 128 184 188 208 256 299 368 376 416 512 598 611 736 752 832 1081 1196 1222 1472 1504 1664 2162 2392 2444 2944 3008 3328 4324 4784 4888 5888 6016 6656 8648 9568 9776 11776 12032 14053 17296 19136 19552 24064 28106 34592 38272 39104 56212 69184 76544 78208 112424 138368 153088 156416 224848 276736 312832 449696 553472 899392 1130819 1798784 2261638 3597568 4523276 7195136 9046552 14700647 18093104 26008837 29401294 36186208 52017674 53148493 58802588 72372416 104035348 106296986 117605176 144744832 208070696 212593972 235210352 289489664 338114881 416141392 425187944 470420704 578979328 676229762 690930409 832282784 850375888 940841408 1222415339 1352459524 1381860818 1664565568 1700751776 1881682816 2444830678 2704919048 2763721636 3329131136 3401503552 3763365632 4889661356 5409838096 5527443272 6658262272 6803007104 7526731264 9779322712 10819676192 11054886544 13316524544 13606014208 15891399407 19558645424 21639352384 22109773088 27212028416 31782798814 39117290848 43278704768 44219546176 63565597628 78234581696 86557409536 88439092352 127131195256 156469163392 173114819072 176878184704 254262390512 312938326784 353756369408 508524781024 625876653568 1017049562048 2034099124096 4068198248192 8136396496384