Search a number
-
+
5626490826280 = 23519173128933199
BaseRepresentation
bin101000111100000010011…
…1111001010111000101000
3201220212221211010120220111
41101320010333022320220
51214141023122420110
615544435121104104
71120333454630632
oct121700477127050
921825854116814
105626490826280
11187a1aa430a15
1276a550488034
1331a7640877bc
14156475da9a52
159b558097e8a
hex51e04fcae28

5626490826280 has 128 divisors (see below), whose sum is σ = 13413729600000. Its totient is φ = 2118111012864.

The previous prime is 5626490826277. The next prime is 5626490826283. The reversal of 5626490826280 is 826280946265.

It is an interprime number because it is at equal distance from previous prime (5626490826277) and next prime (5626490826283).

It is not an unprimeable number, because it can be changed into a prime (5626490826283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169461121 + ... + 169494319.

It is an arithmetic number, because the mean of its divisors is an integer number (104794762500).

Almost surely, 25626490826280 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 5626490826280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706864800000).

5626490826280 is an abundant number, since it is smaller than the sum of its proper divisors (7787238773720).

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

5626490826280 is a wasteful number, since it uses less digits than its factorization.

5626490826280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34691 (or 34687 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 5626490826280 in words is "five trillion, six hundred twenty-six billion, four hundred ninety million, eight hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 173 190 346 380 692 760 865 1289 1384 1730 2578 3287 3460 5156 6445 6574 6920 10312 12890 13148 16435 24491 25780 26296 32870 33199 48982 51560 65740 66398 97964 122455 131480 132796 165995 195928 222997 244910 265592 331990 445994 489820 630781 663980 891988 979640 1114985 1261562 1327960 1783976 2229970 2523124 3153905 4236943 4459940 5046248 5743427 6307810 8473886 8919880 11486854 12615620 16947772 21184715 22973708 25231240 28717135 33895544 42369430 42793511 45947416 57434270 84738860 85587022 109125113 114868540 169477720 171174044 213967555 218250226 229737080 342348088 427935110 436500452 545625565 813076709 855870220 873000904 1091251130 1626153418 1711740440 2182502260 3252306836 4065383545 4365004520 6504613672 7403277403 8130767090 14806554806 16261534180 29613109612 32523068360 37016387015 59226219224 74032774030 140662270657 148065548060 281324541314 296131096120 562649082628 703311353285 1125298165256 1406622706570 2813245413140 5626490826280