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21332607960 = 23351943921313
BaseRepresentation
bin10011110111100001…
…011100001111011000
32001001201001202201010
4103313201130033120
5322142121423320
613444451453520
71353433114206
oct236741341730
961051052633
1021332607960
119057779114
1241742b72a0
13201c7bb961
141065294076
1584cc4cae0
hex4f785c3d8

21332607960 has 128 divisors (see below), whose sum is σ = 67522752000. Its totient is φ = 5376761856.

The previous prime is 21332607953. The next prime is 21332607973. The reversal of 21332607960 is 6970623312.

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, 990264 + ... + 1011576.

It is an arithmetic number, because the mean of its divisors is an integer number (527521500).

Almost surely, 221332607960 is an apocalyptic number.

21332607960 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 21332607960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33761376000).

21332607960 is an abundant number, since it is smaller than the sum of its proper divisors (46190144040).

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

21332607960 is a wasteful number, since it uses less digits than its factorization.

21332607960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21785 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 21332607960 in words is "twenty-one billion, three hundred thirty-two million, six hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 439 456 570 760 878 1140 1317 1756 2195 2280 2634 3512 4390 5268 6585 8341 8780 10536 13170 16682 17560 21313 25023 26340 33364 41705 42626 50046 52680 63939 66728 83410 85252 100092 106565 125115 127878 166820 170504 200184 213130 250230 255756 319695 333640 404947 426260 500460 511512 639390 809894 852520 1000920 1214841 1278780 1619788 2024735 2429682 2557560 3239576 4049470 4859364 6074205 8098940 9356407 9718728 12148410 16197880 18712814 24296820 28069221 37425628 46782035 48593640 56138442 74851256 93564070 112276884 140346105 177771733 187128140 224553768 280692210 355543466 374256280 533315199 561384420 711086932 888858665 1066630398 1122768840 1422173864 1777717330 2133260796 2666575995 3555434660 4266521592 5333151990 7110869320 10666303980 21332607960