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25668769740980 = 2253728211141901
BaseRepresentation
bin1011101011000011110011…
…11001101111100010110100
310100212220120200211111022212
411311201321321233202310
511331024120023202410
6130332023043112552
75256336020545532
oct565417171574264
9110786520744285
1025668769740980
1181a7078376373
122a66943072758
1311427295c2812
1464a537335152
152e7a84a1eb05
hex175879e6f8b4

25668769740980 has 72 divisors (see below), whose sum is σ = 55468195679736. Its totient is φ = 9977830848000.

The previous prime is 25668769740979. The next prime is 25668769741003. The reversal of 25668769740980 is 8904796786652.

It can be written as a sum of positive squares in 12 ways, for example, as 112792535716 + 25555977205264 = 335846^2 + 5055292^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21908030 + ... + 23049930.

It is an arithmetic number, because the mean of its divisors is an integer number (770391606663).

Almost surely, 225668769740980 is an apocalyptic number.

25668769740980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25668769740980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734097839868).

25668769740980 is an abundant number, since it is smaller than the sum of its proper divisors (29799425938756).

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

25668769740980 is a wasteful number, since it uses less digits than its factorization.

25668769740980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142805 (or 1142766 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 77.

The spelling of 25668769740980 in words is "twenty-five trillion, six hundred sixty-eight billion, seven hundred sixty-nine million, seven hundred forty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 821 1369 1642 2738 3284 4105 5476 6845 8210 13690 16420 27380 30377 60754 121508 151885 303770 607540 1123949 1141901 2247898 2283802 4495796 4567604 5619745 5709505 11239490 11419010 22478980 22838020 42250337 84500674 169001348 211251685 422503370 845006740 937500721 1563262469 1875001442 3126524938 3750002884 4687503605 6253049876 7816312345 9375007210 15632624690 18750014420 31265249380 34687526677 69375053354 138750106708 173437633385 346875266770 693750533540 1283438487049 2566876974098 5133753948196 6417192435245 12834384870490 25668769740980