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26123417560140 = 223514992543114217
BaseRepresentation
bin1011111000010010101010…
…00001100010010001001100
310102111101002212220201012220
411330021111001202101030
511411001224343411030
6131320533215455340
75334232432340505
oct574112501422114
9112441085821186
1026123417560140
1183619741a407a
122b1aa87827550
131176573891714
14664547211bac
153047e3d49a10
hex17c25506244c

26123417560140 has 96 divisors (see below), whose sum is σ = 73223789184000. Its totient is φ = 6958798941696.

The previous prime is 26123417560139. The next prime is 26123417560171. The reversal of 26123417560140 is 4106571432162.

It is a junction number, because it is equal to n+sod(n) for n = 26123417560092 and 26123417560101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228660312 + ... + 228774528.

It is an arithmetic number, because the mean of its divisors is an integer number (762747804000).

Almost surely, 226123417560140 is an apocalyptic number.

26123417560140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26123417560140 is an abundant number, since it is smaller than the sum of its proper divisors (47100371623860).

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

26123417560140 is a wasteful number, since it uses less digits than its factorization.

26123417560140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118271 (or 118269 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 26123417560140 in words is "twenty-six trillion, one hundred twenty-three billion, four hundred seventeen million, five hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1499 2543 2998 4497 5086 5996 7495 7629 8994 10172 12715 14990 15258 17988 22485 25430 29980 30516 38145 44970 50860 76290 89940 114217 152580 228434 342651 456868 571085 685302 1142170 1370604 1713255 2284340 3426510 3811957 6853020 7623914 11435871 15247828 19059785 22871742 38119570 45743484 57179355 76239140 114358710 171211283 228717420 290453831 342422566 513633849 580907662 684845132 856056415 871361493 1027267698 1161815324 1452269155 1712112830 1742722986 2054535396 2568169245 2904538310 3424225660 3485445972 4356807465 5136338490 5809076620 8713614930 10272676980 17427229860 435390292669 870780585338 1306170878007 1741561170676 2176951463345 2612341756014 4353902926690 5224683512028 6530854390035 8707805853380 13061708780070 26123417560140