Search a number
-
+
12800285760 = 263537335747
BaseRepresentation
bin10111110101111010…
…01101110001000000
31020001001222220000210
423322331031301000
5202203333121020
65514054314120
7632126430243
oct137275156100
936031886023
1012800285760
115479478169
122592958940
13128cbb77b2
1489601d25a
154edb523e0
hex2faf4dc40

12800285760 has 112 divisors (see below), whose sum is σ = 40751004096. Its totient is φ = 3404163072.

The previous prime is 12800285699. The next prime is 12800285761. The reversal of 12800285760 is 6758200821.

It is not an unprimeable number, because it can be changed into a prime (12800285761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340207 + ... + 375953.

Almost surely, 212800285760 is an apocalyptic number.

12800285760 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 12800285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375502048).

12800285760 is an abundant number, since it is smaller than the sum of its proper divisors (27950718336).

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

12800285760 is a wasteful number, since it uses less digits than its factorization.

12800285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36140 (or 36130 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 12800285760 in words is "twelve billion, eight hundred million, two hundred eighty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 373 480 746 960 1119 1492 1865 2238 2984 3730 4476 5595 5968 7460 8952 11190 11936 14920 17904 22380 23872 29840 35747 35808 44760 59680 71494 71616 89520 107241 119360 142988 178735 179040 214482 285976 357470 358080 428964 536205 571952 714940 857928 1072410 1143904 1429880 1715856 2144820 2287808 2859760 3431712 4289640 5719520 6863424 8579280 11439040 13333631 17158560 26667262 34317120 40000893 53334524 66668155 80001786 106669048 133336310 160003572 200004465 213338096 266672620 320007144 400008930 426676192 533345240 640014288 800017860 853352384 1066690480 1280028576 1600035720 2133380960 2560057152 3200071440 4266761920 6400142880 12800285760