Search a number
-
+
20356623135852 = 22317237575731283
BaseRepresentation
bin1001010000011101001010…
…10010100111010001101100
32200002002000001210212101120
410220032211102213101230
510132010331010321402
6111143411545340540
74200501045454053
oct450164522472154
980062001725346
1020356623135852
116539217078383
1223492bba97750
13b48810087553
145053a158939a
152547c85b03bc
hex1283a54a746c

20356623135852 has 96 divisors (see below), whose sum is σ = 52548813338112. Its totient is φ = 6100651662336.

The previous prime is 20356623135851. The next prime is 20356623135853. The reversal of 20356623135852 is 25853132665302.

It is an interprime number because it is at equal distance from previous prime (20356623135851) and next prime (20356623135853).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 20356623135795 and 20356623135804.

It is not an unprimeable number, because it can be changed into a prime (20356623135851) 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, 686203 + ... + 6417485.

It is an arithmetic number, because the mean of its divisors is an integer number (547383472272).

Almost surely, 220356623135852 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 20356623135852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26274406669056).

20356623135852 is an abundant number, since it is smaller than the sum of its proper divisors (32192190202260).

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

20356623135852 is a wasteful number, since it uses less digits than its factorization.

20356623135852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732087 (or 5732085 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 51.

The spelling of 20356623135852 in words is "twenty trillion, three hundred fifty-six billion, six hundred twenty-three million, one hundred thirty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 757 782 1173 1514 1564 2271 2346 3028 4542 4692 9084 12869 17411 25738 34822 38607 51476 52233 69644 77214 104466 154428 208932 295987 591974 887961 1183948 1775922 3551844 5731283 11462566 17193849 22925132 34387698 68775396 97431811 131819509 194863622 263639018 292295433 389727244 395458527 527278036 584590866 790917054 1169181732 1581834108 2240931653 4338581231 4481863306 6722794959 8677162462 8963726612 13015743693 13445589918 17354324924 26031487386 26891179836 52062974772 73755880927 99787368313 147511761854 199574736626 221267642781 295023523708 299362104939 399149473252 442535285562 598724209878 885070571124 1197448419756 1696385261321 3392770522642 5089155783963 6785541045284 10178311567926 20356623135852