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20310314325504 = 29374001472127
BaseRepresentation
bin1001001111000110111010…
…00100100001011000000000
32122220122110201121120001120
410213203131010201120000
510130231010431404004
6111110232443032240
74164241344202140
oct447433504413000
978818421546046
1020310314325504
116520612a47795
12234033720b680
13b4433cc75218
1450304b184920
152534b7ce13d9
hex1278dd121600

20310314325504 has 160 divisors (see below), whose sum is σ = 61853239996416. Its totient is φ = 5801484288000.

The previous prime is 20310314325491. The next prime is 20310314325517. The reversal of 20310314325504 is 40552341301302.

It is an interprime number because it is at equal distance from previous prime (20310314325491) and next prime (20310314325517).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42782689 + ... + 43254815.

Almost surely, 220310314325504 is an apocalyptic number.

20310314325504 is a gapful number since it is divisible by the number (24) 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 20310314325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30926619998208).

20310314325504 is an abundant number, since it is smaller than the sum of its proper divisors (41542925670912).

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

20310314325504 is an equidigital number, since it uses as much as digits as its factorization.

20310314325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476156 (or 476140 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 20310314325504 its reverse (40552341301302), we get a palindrome (60862655626806).

The spelling of 20310314325504 in words is "twenty trillion, three hundred ten billion, three hundred fourteen million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 4001 5376 8002 10752 12003 16004 24006 28007 32008 48012 56014 64016 84021 96024 112028 128032 168042 192048 224056 256064 336084 384096 448112 472127 512128 672168 768192 896224 944254 1024256 1344336 1416381 1536384 1792448 1888508 2048512 2688672 2832762 3072768 3304889 3584896 3777016 5377344 5665524 6145536 6609778 7169792 7554032 9914667 10754688 11331048 13219556 14339584 15108064 19829334 21509376 22662096 26439112 30216128 39658668 43018752 45324192 52878224 60432256 79317336 90648384 105756448 120864512 158634672 181296768 211512896 241729024 317269344 362593536 423025792 634538688 725187072 846051584 1269077376 1692103168 1888980127 2538154752 3777960254 5076309504 5666940381 7555920508 11333880762 13222860889 15111841016 22667761524 26445721778 30223682032 39668582667 45335523048 52891443556 60447364064 79337165334 90671046096 105782887112 120894728128 158674330668 181342092192 211565774224 241789456256 317348661336 362684184384 423131548448 483578912512 634697322672 725368368768 846263096896 967157825024 1269394645344 1450736737536 1692526193792 2538789290688 2901473475072 3385052387584 5077578581376 6770104775168 10155157162752 20310314325504