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812000852880 = 24357598192099
BaseRepresentation
bin10111101000011110000…
…01011011101110010000
32212121220201212020021020
423310033001123232100
5101300434204243010
61421010020155440
7112444065240210
oct13641701335620
92777821766236
10812000852880
11293405349128
12111455538b80
135b75734c459
142b430126240
15161c6b80470
hexbd0f05bb90

812000852880 has 160 divisors (see below), whose sum is σ = 2925562752000. Its totient is φ = 182454406656.

The previous prime is 812000852863. The next prime is 812000852893. The reversal of 812000852880 is 88258000218.

812000852880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3996930 + ... + 4195169.

It is an arithmetic number, because the mean of its divisors is an integer number (18284767200).

Almost surely, 2812000852880 is an apocalyptic number.

812000852880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

812000852880 is an abundant number, since it is smaller than the sum of its proper divisors (2113561899120).

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

812000852880 is a wasteful number, since it uses less digits than its factorization.

812000852880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192181 (or 8192175 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The spelling of 812000852880 in words is "eight hundred twelve billion, eight hundred fifty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 59 60 70 80 84 105 112 118 120 140 168 177 210 236 240 280 295 336 354 413 420 472 560 590 708 826 840 885 944 1180 1239 1416 1652 1680 1770 2065 2360 2478 2832 3304 3540 4130 4720 4956 6195 6608 7080 8260 9912 12390 14160 16520 19824 24780 33040 49560 99120 8192099 16384198 24576297 32768396 40960495 49152594 57344693 65536792 81920990 98305188 114689386 122881485 131073584 163841980 172034079 196610376 229378772 245762970 286723465 327683960 344068158 393220752 458757544 483333841 491525940 573446930 655367920 688136316 860170395 917515088 966667682 983051880 1146893860 1376272632 1450001523 1720340790 1933335364 1966103760 2293787720 2416669205 2752545264 2900003046 3383336887 3440681580 3866670728 4587575440 4833338410 5800006092 6766673774 6881363160 7250007615 7733341456 9666676820 10150010661 11600012184 13533347548 13762726320 14500015230 16916684435 19333353640 20300021322 23200024368 27066695096 29000030460 33833368870 38666707280 40600042644 50750053305 54133390192 58000060920 67666737740 81200085288 101500106610 116000121840 135333475480 162400170576 203000213220 270666950960 406000426440 812000852880