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1069021668 = 22311132173277
BaseRepresentation
bin111111101101111…
…111100111100100
32202111112221001010
4333231333213210
54142132143133
6254024502220
735330351151
oct7755774744
92674487033
101069021668
114a9486890
1225a01a970
13140625600
14a1d97228
1563cb7263
hex3fb7f9e4

1069021668 has 144 divisors (see below), whose sum is σ = 2974297536. Its totient is φ = 296225280.

The previous prime is 1069021573. The next prime is 1069021687. The reversal of 1069021668 is 8661209601.

It is a super-2 number, since 2×10690216682 = 2285614653307004448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a cake number, because a cake can be divided into 1069021668 parts by 1858 planar cuts.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3859146 + ... + 3859422.

It is an arithmetic number, because the mean of its divisors is an integer number (20654844).

Almost surely, 21069021668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1069021668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487148768).

1069021668 is an abundant number, since it is smaller than the sum of its proper divisors (1905275868).

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

1069021668 is a wasteful number, since it uses less digits than its factorization.

1069021668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1069021668 is about 32695.8968067860. The cubic root of 1069021668 is about 1022.4972987098.

The spelling of 1069021668 in words is "one billion, sixty-nine million, twenty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 173 277 286 338 346 429 507 519 554 572 676 692 831 858 1014 1038 1108 1662 1716 1859 1903 2028 2076 2249 3047 3324 3601 3718 3806 4498 5577 5709 6094 6747 7202 7436 7612 8996 9141 10803 11154 11418 12188 13494 14404 18282 21606 22308 22836 24739 26988 29237 36564 39611 43212 46813 47921 49478 58474 74217 79222 87711 93626 95842 98956 116948 118833 140439 143763 148434 158444 175422 187252 191684 237666 280878 287526 296868 321607 350844 475332 514943 527131 561756 575052 622973 643214 964821 1029886 1054262 1245946 1286428 1544829 1581393 1868919 1929642 2059772 2108524 2491892 3089658 3162786 3737838 3859284 6179316 6325572 6852703 7475676 8098649 13705406 16197298 20558109 24295947 27410812 32394596 41116218 48591894 82232436 89085139 97183788 178170278 267255417 356340556 534510834 1069021668