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21832117856040 = 23352357373137873
BaseRepresentation
bin1001111011011001011111…
…01000010010011100101000
32212022010111211102210211010
410331230233220102130220
510330144134132343130
6114233311514103520
74412214142605132
oct475545750223450
985263454383733
1021832117856040
116a57a494052a8
12254726411aba0
13c249b55c148b
1455697444c052
1527cd8440b0b0
hex13db2fa12728

21832117856040 has 128 divisors (see below), whose sum is σ = 68345708048640. Its totient is φ = 5568634638336.

The previous prime is 21832117856039. The next prime is 21832117856069. The reversal of 21832117856040 is 4065871123812.

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 31 ways as a sum of consecutive naturals, for example, 158280544 + ... + 158418416.

It is an arithmetic number, because the mean of its divisors is an integer number (533950844130).

Almost surely, 221832117856040 is an apocalyptic number.

21832117856040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21832117856040 is an abundant number, since it is smaller than the sum of its proper divisors (46513590192600).

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

21832117856040 is a wasteful number, since it uses less digits than its factorization.

21832117856040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195283 (or 195279 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

Adding to 21832117856040 its reverse (4065871123812), we get a palindrome (25897988979852).

The spelling of 21832117856040 in words is "twenty-one trillion, eight hundred thirty-two billion, one hundred seventeen million, eight hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 57373 114746 137873 172119 229492 275746 286865 344238 413619 458984 551492 573730 688476 689365 827238 860595 1102984 1147460 1319579 1376952 1378730 1654476 1721190 2068095 2294920 2639158 2757460 3171079 3308952 3442380 3958737 4136190 5278316 5514920 6342158 6597895 6884760 7917474 8272380 9513237 10556632 12684316 13195790 15834948 15855395 16544760 19026474 19793685 25368632 26391580 31669896 31710790 38052948 39587370 47566185 52783160 63421580 76105896 79174740 95132370 126843160 158349480 190264740 380529480 7910187629 15820375258 23730562887 31640750516 39550938145 47461125774 63281501032 79101876290 94922251548 118652814435 158203752580 181934315467 189844503096 237305628870 316407505160 363868630934 474611257740 545802946401 727737261868 909671577335 949222515480 1091605892802 1455474523736 1819343154670 2183211785604 2729014732005 3638686309340 4366423571208 5458029464010 7277372618680 10916058928020 21832117856040