Search a number
-
+
5536137420 = 22325113138933
BaseRepresentation
bin1010010011111101…
…01100000011001100
3112021211012220211200
411021332230003030
542314222344140
62313202345500
7254122251222
oct51176540314
915254186750
105536137420
112391006a90
1210a605b290
136a2c57378
143a7382b12
1522605c030
hex149fac0cc

5536137420 has 144 divisors (see below), whose sum is σ = 18380168352. Its totient is φ = 1337656320.

The previous prime is 5536137413. The next prime is 5536137437. The reversal of 5536137420 is 247316355.

5536137420 is a `hidden beast` number, since 553 + 6 + 13 + 74 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615274 + ... + 624206.

It is an arithmetic number, because the mean of its divisors is an integer number (127640058).

Almost surely, 25536137420 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 5536137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190084176).

5536137420 is an abundant number, since it is smaller than the sum of its proper divisors (12844030932).

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

5536137420 is a wasteful number, since it uses less digits than its factorization.

5536137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9272 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5536137420 is about 74405.2244133434. The cubic root of 5536137420 is about 1769.0317216688.

The spelling of 5536137420 in words is "five billion, five hundred thirty-six million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 313 330 396 495 626 660 939 990 1252 1565 1878 1980 2817 3130 3443 3756 4695 5634 6260 6886 8933 9390 10329 11268 13772 14085 17215 17866 18780 20658 26799 28170 30987 34430 35732 41316 44665 51645 53598 56340 61974 68860 80397 89330 98263 103290 107196 123948 133995 154935 160794 178660 196526 206580 267990 294789 309870 321588 393052 401985 491315 535980 589578 619740 803970 884367 982630 1179156 1473945 1607940 1768734 1965260 2796029 2947890 3537468 4421835 5592058 5895780 8388087 8843670 11184116 13980145 16776174 17687340 25164261 27960290 30756319 33552348 41940435 50328522 55920580 61512638 83880870 92268957 100657044 123025276 125821305 153781595 167761740 184537914 251642610 276806871 307563190 369075828 461344785 503285220 553613742 615126380 922689570 1107227484 1384034355 1845379140 2768068710 5536137420