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20310122436064 = 2523411096174821
BaseRepresentation
bin1001001111000110100011…
…01000100001010111100000
32122220121222100112120020021
410213203101220201113200
510130230112320423224
6111110201430123224
74164233524154536
oct447432150412740
978817870476207
1020310122436064
1165205246a437a
1223402a2ab0514
13b4430c29a786
1450302d8b4156
152534a603a1e4
hex1278d1a215e0

20310122436064 has 96 divisors (see below), whose sum is σ = 43133848591680. Its totient is φ = 9389678284800.

The previous prime is 20310122436017. The next prime is 20310122436067. The reversal of 20310122436064 is 46063422101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20310122436067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201774 + ... + 6376594.

It is an arithmetic number, because the mean of its divisors is an integer number (449310922830).

Almost surely, 220310122436064 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 20310122436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21566924295840).

20310122436064 is an abundant number, since it is smaller than the sum of its proper divisors (22823726155616).

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

20310122436064 is a wasteful number, since it uses less digits than its factorization.

20310122436064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175004 (or 6174996 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 20310122436064 its reverse (46063422101302), we get a palindrome (66373544537366).

The spelling of 20310122436064 in words is "twenty trillion, three hundred ten billion, one hundred twenty-two million, four hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 41 46 82 92 109 164 184 218 328 368 436 656 736 872 943 1312 1744 1886 2507 3488 3772 4469 5014 7544 8938 10028 15088 17876 20056 30176 35752 40112 71504 80224 102787 143008 205574 411148 822296 1644592 3289184 6174821 12349642 24699284 49398568 98797136 142020883 197594272 253167661 284041766 506335322 568083532 673055489 1012670644 1136167064 1346110978 2025341288 2272334128 2692221956 4050682576 4544668256 5384443912 5822856203 8101365152 10768887824 11645712406 15480276247 21537775648 23291424812 27595275049 30960552494 46582849624 55190550098 61921104988 93165699248 110381100196 123842209976 186331398496 220762200392 247684419952 441524400784 495368839904 634691326127 883048801568 1269382652254 2538765304508 5077530609016 10155061218032 20310122436064