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21674210211040 = 2554126912282511
BaseRepresentation
bin1001110110110011010111…
…00110011011010011100000
32211202000220222100022021211
410323121223212123103200
510320102240303223130
6114032554505155504
74364624064015232
oct473315346332340
984660828308254
1021674210211040
1169a6a87689452
12252073518bb94
13c12b3b996a4a
1454d074794252
15278be14c5a2a
hex13b66b99b4e0

21674210211040 has 96 divisors (see below), whose sum is σ = 52649233338240. Its totient is φ = 8426784460800.

The previous prime is 21674210211007. The next prime is 21674210211061. The reversal of 21674210211040 is 4011201247612.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21674210210993 and 21674210211011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4376616 + ... + 7905895.

It is an arithmetic number, because the mean of its divisors is an integer number (548429513940).

Almost surely, 221674210211040 is an apocalyptic number.

21674210211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21674210211040 is an abundant number, since it is smaller than the sum of its proper divisors (30975023127200).

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

21674210211040 is a wasteful number, since it uses less digits than its factorization.

21674210211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12282836 (or 12282828 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 21674210211040 its reverse (4011201247612), we get a palindrome (25685411458652).

The spelling of 21674210211040 in words is "twenty-one trillion, six hundred seventy-four billion, two hundred ten million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 269 328 410 538 656 820 1076 1312 1345 1640 2152 2690 3280 4304 5380 6560 8608 10760 11029 21520 22058 43040 44116 55145 88232 110290 176464 220580 352928 441160 882320 1764640 12282511 24565022 49130044 61412555 98260088 122825110 196520176 245650220 393040352 491300440 503582951 982600880 1007165902 1965201760 2014331804 2517914755 3303995459 4028663608 5035829510 6607990918 8057327216 10071659020 13215981836 16114654432 16519977295 20143318040 26431963672 33039954590 40286636080 52863927344 66079909180 80573272160 105727854688 132159818360 135463813819 264319636720 270927627638 528639273440 541855255276 677319069095 1083710510552 1354638138190 2167421021104 2709276276380 4334842042208 5418552552760 10837105105520 21674210211040