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6697081021248 = 26349713318301
BaseRepresentation
bin110000101110100100100…
…1000101010001101000000
3212201020100002110110120000
41201131021020222031000
51334211110220134443
622124332504320000
71260563624300442
oct141351110521500
925636302413500
106697081021248
11215224170a112
12901b32a73000
133976bbb42677
141921d757c492
15b9316b528d3
hex6174922a340

6697081021248 has 140 divisors (see below), whose sum is σ = 20056909989732. Its totient is φ = 2209346150400.

The previous prime is 6697081021187. The next prime is 6697081021271. The reversal of 6697081021248 is 8421201807966.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3071438512704 + 3625642508544 = 1752552^2 + 1904112^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6697081021194 and 6697081021203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6156303 + ... + 7161998.

Almost surely, 26697081021248 is an apocalyptic number.

It is an amenable number.

6697081021248 is an abundant number, since it is smaller than the sum of its proper divisors (13359828968484).

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

6697081021248 is a wasteful number, since it uses less digits than its factorization.

6697081021248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318422 (or 13318403 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 6697081021248 in words is "six trillion, six hundred ninety-seven billion, eighty-one million, twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 108 144 162 192 194 216 288 291 324 388 432 576 582 648 776 864 873 1164 1296 1552 1728 1746 2328 2592 2619 3104 3492 4656 5184 5238 6208 6984 7857 9312 10476 13968 15714 18624 20952 27936 31428 41904 55872 62856 83808 125712 167616 251424 502848 13318301 26636602 39954903 53273204 79909806 106546408 119864709 159819612 213092816 239729418 319639224 359594127 426185632 479458836 639278448 719188254 852371264 958917672 1078782381 1278556896 1291875197 1438376508 1917835344 2157564762 2557113792 2583750394 2876753016 3835670688 3875625591 4315129524 5167500788 5753506032 7671341376 7751251182 8630259048 10335001576 11507012064 11626876773 15502502364 17260518096 20670003152 23014024128 23253753546 31005004728 34521036192 34880630319 41340006304 46507507092 62010009456 69042072384 69761260638 82680012608 93015014184 104641890957 124020018912 139522521276 186030028368 209283781914 248040037824 279045042552 372060056736 418567563828 558090085104 744120113472 837135127656 1116180170208 1674270255312 2232360340416 3348540510624 6697081021248