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12505260800 = 28523895023
BaseRepresentation
bin10111010010101111…
…10010001100000000
31012021111212001212102
423221113302030000
5201102321321200
65424515045532
7621614651204
oct135127621400
935244761772
1012505260800
11533799158a
12250bba08a8
131243a3c306
14868b82b04
154d2cc76d5
hex2e95f2300

12505260800 has 108 divisors (see below), whose sum is σ = 31038221760. Its totient is φ = 4988252160.

The previous prime is 12505260791. The next prime is 12505260821. The reversal of 12505260800 is 806250521.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2487089 + ... + 2492111.

Almost surely, 212505260800 is an apocalyptic number.

12505260800 is a gapful number since it is divisible by the number (10) 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 12505260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519110880).

12505260800 is an abundant number, since it is smaller than the sum of its proper divisors (18532960960).

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

12505260800 is an equidigital number, since it uses as much as digits as its factorization.

12505260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 12505260800 in words is "twelve billion, five hundred five million, two hundred sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 389 400 640 778 800 1280 1556 1600 1945 3112 3200 3890 5023 6224 6400 7780 9725 10046 12448 15560 19450 20092 24896 25115 31120 38900 40184 49792 50230 62240 77800 80368 99584 100460 124480 125575 155600 160736 200920 248960 251150 311200 321472 401840 497920 502300 622400 642944 803680 1004600 1244800 1285888 1607360 1953947 2009200 2489600 3214720 3907894 4018400 6429440 7815788 8036800 9769735 15631576 16073600 19539470 31263152 32147200 39078940 48848675 62526304 78157880 97697350 125052608 156315760 195394700 250105216 312631520 390789400 500210432 625263040 781578800 1250526080 1563157600 2501052160 3126315200 6252630400 12505260800