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20844963120 = 2435734092909
BaseRepresentation
bin10011011010011101…
…001110010100110000
31222210201110211202010
4103122131032110300
5320142302304440
613324231522520
71335362156142
oct233235162460
958721424663
1020844963120
118927490353
124058b29440
131c72771407
14101a5d6c92
15820025580
hex4da74e530

20844963120 has 160 divisors (see below), whose sum is σ = 65687313600. Its totient is φ = 5467226112.

The previous prime is 20844963109. The next prime is 20844963121. The reversal of 20844963120 is 2136944802.

It is not an unprimeable number, because it can be changed into a prime (20844963121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7164226 + ... + 7167134.

It is an arithmetic number, because the mean of its divisors is an integer number (410545710).

Almost surely, 220844963120 is an apocalyptic number.

20844963120 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 20844963120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32843656800).

20844963120 is an abundant number, since it is smaller than the sum of its proper divisors (44842350480).

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

20844963120 is a wasteful number, since it uses less digits than its factorization.

20844963120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 20844963120 in words is "twenty billion, eight hundred forty-four million, nine hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 409 438 584 730 818 876 1095 1168 1227 1460 1636 1752 2045 2190 2454 2909 2920 3272 3504 4090 4380 4908 5818 5840 6135 6544 8180 8727 8760 9816 11636 12270 14545 16360 17454 17520 19632 23272 24540 29090 29857 32720 34908 43635 46544 49080 58180 59714 69816 87270 89571 98160 116360 119428 139632 149285 174540 179142 212357 232720 238856 298570 349080 358284 424714 447855 477712 597140 637071 698160 716568 849428 895710 1061785 1189781 1194280 1274142 1433136 1698856 1791420 2123570 2379562 2388560 2548284 3185355 3397712 3569343 3582840 4247140 4759124 5096568 5948905 6370710 7138686 7165680 8494280 9518248 10193136 11897810 12741420 14277372 16988560 17846715 19036496 23795620 25482840 28554744 35693430 47591240 50965680 57109488 71386860 86854013 95182480 142773720 173708026 260562039 285547440 347416052 434270065 521124078 694832104 868540130 1042248156 1302810195 1389664208 1737080260 2084496312 2605620390 3474160520 4168992624 5211240780 6948321040 10422481560 20844963120