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204114513656136 = 23329717575456453
BaseRepresentation
bin101110011010010000011101…
…000101000111100101001000
3222202201011020101222020002010
4232122100131011013211020
5203223203010443444021
62002040525120335520
760664533633326466
oct5632203505074510
9882634211866063
10204114513656136
115a04552a782756
121aa869157745a0
1389b7bba72ca55
1438592a37a9836
15188e74852b976
hexb9a41d147948

204114513656136 has 128 divisors (see below), whose sum is σ = 536024580307200. Its totient is φ = 64681218524160.

The previous prime is 204114513656129. The next prime is 204114513656147. The reversal of 204114513656136 is 631656315411402.

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, 34679686 + ... + 40136138.

It is an arithmetic number, because the mean of its divisors is an integer number (4187692033650).

Almost surely, 2204114513656136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204114513656136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268012290153600).

204114513656136 is an abundant number, since it is smaller than the sum of its proper divisors (331910066651064).

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

204114513656136 is a wasteful number, since it uses less digits than its factorization.

204114513656136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457319 (or 5457315 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 204114513656136 in words is "two hundred four trillion, one hundred fourteen billion, five hundred thirteen million, six hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 348 426 568 696 757 852 1514 1704 2059 2271 3028 4118 4542 6056 6177 8236 9084 12354 16472 18168 21953 24708 43906 49416 53747 65859 87812 107494 131718 161241 175624 214988 263436 322482 429976 526872 644964 1289928 1558663 3117326 4675989 5456453 6234652 9351978 10912906 12469304 16369359 18703956 21825812 32738718 37407912 43651624 65477436 130954872 158237137 316474274 387408163 474711411 632948548 774816326 949422822 1162224489 1265897096 1549632652 1898845644 2324448978 3099265304 3797691288 4130534921 4648897956 8261069842 9297795912 11234836727 12391604763 16522139684 22469673454 24783209526 33044279368 33704510181 44939346908 49566419052 67409020362 89878693816 99132838104 119785512709 134818040724 239571025418 269636081448 293267979391 359356538127 479142050836 586535958782 718713076254 879803938173 958284101672 1173071917564 1437426152508 1759607876346 2346143835128 2874852305016 3519215752692 7038431505384 8504771402339 17009542804678 25514314207017 34019085609356 51028628414034 68038171218712 102057256828068 204114513656136