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269021893660 = 2251373118711941
BaseRepresentation
bin1111101010001011110…
…1000101010000011100
3221201101121011011201021
43322202331011100130
513401424101044120
6323330440453524
725302420236452
oct3724275052034
9851347134637
10269021893660
11a4100933523
124417aa7a2a4
131c4a3c23980
14d040c489d2
156ee7c7aaaa
hex3ea2f4541c

269021893660 has 96 divisors (see below), whose sum is σ = 617308921152. Its totient is φ = 97879726080.

The previous prime is 269021893643. The next prime is 269021893717. The reversal of 269021893660 is 66398120962.

269021893660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 269021893598 and 269021893607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22523290 + ... + 22535230.

It is an arithmetic number, because the mean of its divisors is an integer number (6430301262).

Almost surely, 2269021893660 is an apocalyptic number.

269021893660 is a gapful number since it is divisible by the number (20) 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 269021893660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308654460576).

269021893660 is an abundant number, since it is smaller than the sum of its proper divisors (348287027492).

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

269021893660 is a wasteful number, since it uses less digits than its factorization.

269021893660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 269021893660 in words is "two hundred sixty-nine billion, twenty-one million, eight hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 365 730 949 1187 1460 1898 2374 3796 4745 4748 5935 9490 11870 11941 15431 18980 23740 23882 30862 47764 59705 61724 77155 86651 119410 154310 155233 173302 238820 308620 310466 346604 433255 620932 776165 866510 871693 1126463 1552330 1733020 1743386 2252926 3104660 3486772 4358465 4505852 5632315 8716930 11264630 11332009 14173967 17433860 22529260 22664018 28347934 45328036 56660045 56695868 70869835 113320090 141739670 184261571 226640180 283479340 368523142 737046284 921307855 1034699591 1842615710 2069399182 3685231420 4138798364 5173497955 10346995910 13451094683 20693991820 26902189366 53804378732 67255473415 134510946830 269021893660