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20032325333440 = 265745719568933
BaseRepresentation
bin1001000111000001000111…
…01000101011000111000000
32121221001221012021120211121
410203200203220223013000
510111202200241132230
6110334420114122024
74135200460563340
oct443404350530700
977831835246747
1020032325333440
116423730455542
1222b6495280314
13b2406a350b84
144d37d944ad20
1524b147bd777a
hex123823a2b1c0

20032325333440 has 112 divisors (see below), whose sum is σ = 54635837522112. Its totient is φ = 6853196537856.

The previous prime is 20032325333431. The next prime is 20032325333477. The reversal of 20032325333440 is 4433352323002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20032325333396 and 20032325333405.

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, 8760787 + ... + 10808146.

It is an arithmetic number, because the mean of its divisors is an integer number (487819977876).

Almost surely, 220032325333440 is an apocalyptic number.

20032325333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032325333440 is an abundant number, since it is smaller than the sum of its proper divisors (34603512188672).

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

20032325333440 is a wasteful number, since it uses less digits than its factorization.

20032325333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19569414 (or 19569404 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 34.

Adding to 20032325333440 its reverse (4433352323002), we get a palindrome (24465677656442).

The spelling of 20032325333440 in words is "twenty trillion, thirty-two billion, three hundred twenty-five million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 457 560 914 1120 1828 2240 2285 3199 3656 4570 6398 7312 9140 12796 14624 15995 18280 25592 29248 31990 36560 51184 63980 73120 102368 127960 146240 204736 255920 511840 1023680 19568933 39137866 78275732 97844665 136982531 156551464 195689330 273965062 313102928 391378660 547930124 626205856 684912655 782757320 1095860248 1252411712 1369825310 1565514640 2191720496 2739650620 3131029280 4383440992 5479301240 6262058560 8766881984 8943002381 10958602480 17886004762 21917204960 35772009524 43834409920 44715011905 62601016667 71544019048 89430023810 125202033334 143088038096 178860047620 250404066668 286176076192 313005083335 357720095240 500808133336 572352152384 626010166670 715440190480 1001616266672 1252020333340 1430880380960 2003232533344 2504040666680 2861760761920 4006465066688 5008081333360 10016162666720 20032325333440