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26812135680 = 283511634757
BaseRepresentation
bin11000111110001000…
…001011100100000000
32120012120202121122020
4120332020023210000
5414402401320210
620152313041440
71636300251531
oct307610134400
976176677566
1026812135680
111040982a420
1252433b6280
1326b3ab5255
141424cdc688
15a6dd26770
hex63e20b900

26812135680 has 144 divisors (see below), whose sum is σ = 93416065344. Its totient is φ = 6499901440.

The previous prime is 26812135619. The next prime is 26812135739. The reversal of 26812135680 is 8653121862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275139 + ... + 359618.

It is an arithmetic number, because the mean of its divisors is an integer number (648722676).

Almost surely, 226812135680 is an apocalyptic number.

26812135680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26812135680 is an abundant number, since it is smaller than the sum of its proper divisors (66603929664).

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

26812135680 is a wasteful number, since it uses less digits than its factorization.

26812135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634792 (or 634778 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 26812135680 in words is "twenty-six billion, eight hundred twelve million, one hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 634757 1269514 1904271 2539028 3173785 3808542 5078056 6347570 6982327 7617084 9521355 10156112 12695140 13964654 15234168 19042710 20312224 20946981 25390280 27929308 30468336 34911635 38085420 40624448 41893962 50780560 55858616 60936672 69823270 76170840 81248896 83787924 101561120 104734905 111717232 121873344 139646540 152341680 162497792 167575848 203122240 209469810 223434464 243746688 279293080 304683360 335151696 406244480 418939620 446868928 487493376 558586160 609366720 670303392 812488960 837879240 893737856 1117172320 1218733440 1340606784 1675758480 1787475712 2234344640 2437466880 2681213568 3351516960 4468689280 5362427136 6703033920 8937378560 13406067840 26812135680