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208131760920 = 233517653156241
BaseRepresentation
bin1100000111010110011…
…1101010001100011000
3201220020001121221101210
43001311213222030120
511402223212322140
6235340413543120
721015461530536
oct3016547521430
9656201557353
10208131760920
11802a4a53576
1234406aa4aa0
131681bc46425
14a106087156
1556322e9d80
hex30759ea318

208131760920 has 128 divisors (see below), whose sum is σ = 662141096640. Its totient is φ = 52156661760.

The previous prime is 208131760919. The next prime is 208131760957. The reversal of 208131760920 is 29067131802.

208131760920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1254000 + ... + 1410240.

Almost surely, 2208131760920 is an apocalyptic number.

208131760920 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 208131760920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331070548320).

208131760920 is an abundant number, since it is smaller than the sum of its proper divisors (454009335720).

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

208131760920 is a wasteful number, since it uses less digits than its factorization.

208131760920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156925 (or 156921 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 208131760920 in words is "two hundred eight billion, one hundred thirty-one million, seven hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 653 680 1020 1306 1959 2040 2612 3265 3918 5224 6530 7836 9795 11101 13060 15672 19590 22202 26120 33303 39180 44404 55505 66606 78360 88808 111010 133212 156241 166515 222020 266424 312482 333030 444040 468723 624964 666060 781205 937446 1249928 1332120 1562410 1874892 2343615 2656097 3124820 3749784 4687230 5312194 6249640 7968291 9374460 10624388 13280485 15936582 18748920 21248776 26560970 31873164 39841455 53121940 63746328 79682910 102025373 106243880 159365820 204050746 306076119 318731640 408101492 510126865 612152238 816202984 1020253730 1224304476 1530380595 1734431341 2040507460 2448608952 3060761190 3468862682 4081014920 5203294023 6121522380 6937725364 8672156705 10406588046 12243044760 13875450728 17344313410 20813176092 26016470115 34688626820 41626352184 52032940230 69377253640 104065880460 208131760920