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20334132323032 = 2311478963118753
BaseRepresentation
bin1001001111110011010001…
…01110111110001011011000
32122222220221122101012022011
410213321220232332023120
510131123300333314112
6111125212121235304
74166043516634153
oct447715056761330
978886848335264
1020334132323032
11652a72564a870
122344a83932b34
13b46667649098
1450426a564c9a
15253e0dd30aa7
hex127e68bbe2d8

20334132323032 has 128 divisors (see below), whose sum is σ = 42966480844800. Its totient is φ = 8942051430400.

The previous prime is 20334132322979. The next prime is 20334132323033. The reversal of 20334132323032 is 23032323143302.

It is a junction number, because it is equal to n+sod(n) for n = 20334132322985 and 20334132323003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20334132323033) 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, 2323099968 + ... + 2323108720.

It is an arithmetic number, because the mean of its divisors is an integer number (335675631600).

Almost surely, 220334132323032 is an apocalyptic number.

20334132323032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334132323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21483240422400).

20334132323032 is an abundant number, since it is smaller than the sum of its proper divisors (22632348521768).

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

20334132323032 is a wasteful number, since it uses less digits than its factorization.

20334132323032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15213 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 20334132323032 its reverse (23032323143302), we get a palindrome (43366455466334).

The spelling of 20334132323032 in words is "twenty trillion, three hundred thirty-four billion, one hundred thirty-two million, three hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 47 88 89 94 178 188 356 376 517 712 979 1034 1958 2068 3916 4136 4183 6311 7832 8366 8753 12622 16732 17506 25244 33464 35012 46013 50488 69421 70024 92026 96283 138842 184052 192566 277684 296617 368104 385132 411391 555368 561679 593234 770264 779017 822782 1123358 1186468 1558034 1645564 2246716 2372936 3116068 3262787 3291128 4493432 4525301 6178469 6232136 6525574 8569187 9050602 12356938 13051148 17138374 18101204 24713876 26102296 26398913 34276748 36202408 36613799 49427752 52797826 55240183 68553496 73227598 105595652 110480366 146455196 211191304 220960732 290388043 292910392 402751789 441921464 580776086 607642013 805503578 1161552172 1215284026 1611007156 2323104344 2430568052 2596288601 3222014312 4861136104 4916376287 5192577202 9832752574 10385154404 19665505148 20770308808 28559174611 39331010296 54080139157 57118349222 108160278314 114236698444 216320556628 228473396888 231069685489 432641113256 462139370978 924278741956 1848557483912 2541766540379 5083533080758 10167066161516 20334132323032