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20512134324324 = 22326757799714783
BaseRepresentation
bin1001010100111110110100…
…11110101110000001100100
32200121221101220112202120200
410222133122132232001210
510142032322341334244
6111343051110030500
74214644544656146
oct452373236560144
980557356482520
1020512134324324
116599169091a45
122373480348430
13b5a394367176
1450cb14c66c96
1525887ae1e669
hex12a7da7ae064

20512134324324 has 144 divisors (see below), whose sum is σ = 52771645774848. Its totient is φ = 6716456423424.

The previous prime is 20512134324281. The next prime is 20512134324337. The reversal of 20512134324324 is 42342343121502.

20512134324324 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 2 + 1 + 3 + 4 + 324 + 324 = 666.

It is a super-2 number, since 2×205121343243242 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1387541437 + ... + 1387556219.

Almost surely, 220512134324324 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 20512134324324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26385822887424).

20512134324324 is an abundant number, since it is smaller than the sum of its proper divisors (32259511450524).

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

20512134324324 is a wasteful number, since it uses less digits than its factorization.

20512134324324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16434 (or 16429 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20512134324324 its reverse (42342343121502), we get a palindrome (62854477445826).

The spelling of 20512134324324 in words is "twenty trillion, five hundred twelve billion, one hundred thirty-four million, three hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 577 603 804 997 1154 1206 1731 1994 2308 2412 2991 3462 3988 5193 5982 6924 8973 10386 11964 14783 17946 20772 29566 35892 38659 44349 59132 66799 77318 88698 115977 133047 133598 154636 177396 200397 231954 266094 267196 347931 400794 463908 532188 575269 601191 695862 801588 990461 1150538 1202382 1391724 1725807 1980922 2301076 2404764 2971383 3451614 3961844 5177421 5942766 6903228 8529791 8914149 10354842 11885532 14738651 17059582 17828298 20709684 25589373 29477302 34119164 35656596 38543023 44215953 51178746 58954604 76768119 77086046 88431906 102357492 115629069 132647859 153536238 154172092 176863812 231258138 265295718 307072476 346887207 462516276 530591436 571495997 693774414 987489617 1142991994 1387548828 1714487991 1974979234 2285983988 2962468851 3428975982 3949958468 5143463973 5924937702 6857951964 8504201627 8887406553 10286927946 11849875404 17008403254 17774813106 20573855892 25512604881 34016806508 35549626212 51025209762 76537814643 102050419524 153075629286 306151258572 569781509009 1139563018018 1709344527027 2279126036036 3418689054054 5128033581081 6837378108108 10256067162162 20512134324324