Search a number
-
+
266736312440 = 2351317136722073
BaseRepresentation
bin1111100001101010111…
…0010010000001111000
3221111111022102121200222
43320122232102001320
513332233443444230
6322311552515212
725161655150403
oct3703256220170
9844438377628
10266736312440
11a3138770524
124384154bb08
131c1cb559750
14cca5490d3a
156e122a66e5
hex3e1ab92078

266736312440 has 128 divisors (see below), whose sum is σ = 684873221760. Its totient is φ = 92621881344.

The previous prime is 266736312257. The next prime is 266736312461. The reversal of 266736312440 is 44213637662.

It is a super-2 number, since 2×2667363124402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 266736312391 and 266736312400.

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, 12073244 + ... + 12095316.

It is an arithmetic number, because the mean of its divisors is an integer number (5350572045).

Almost surely, 2266736312440 is an apocalyptic number.

266736312440 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 266736312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342436610880).

266736312440 is an abundant number, since it is smaller than the sum of its proper divisors (418136909320).

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

266736312440 is a wasteful number, since it uses less digits than its factorization.

266736312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23481 (or 23477 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 266736312440 in words is "two hundred sixty-six billion, seven hundred thirty-six million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1367 1768 2210 2734 4420 5468 6835 8840 10936 13670 17771 22073 23239 27340 35542 44146 46478 54680 71084 88292 88855 92956 110365 116195 142168 176584 177710 185912 220730 232390 286949 302107 355420 375241 441460 464780 573898 604214 710840 750482 882920 929560 1147796 1208428 1434745 1500964 1510535 1876205 2295592 2416856 2869490 3001928 3021070 3752410 4878133 5738980 6042140 7504820 9756266 11477960 12084280 15009640 19512532 24390665 30173791 39025064 48781330 60347582 97562660 120695164 150868955 195125320 241390328 301737910 392259283 512954447 603475820 784518566 1025908894 1206951640 1569037132 1961296415 2051817788 2564772235 3138074264 3922592830 4103635576 5129544470 6668407811 7845185660 10259088940 13336815622 15690371320 20518177880 26673631244 33342039055 53347262488 66684078110 133368156220 266736312440