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20626837120 = 2751711711619
BaseRepresentation
bin10011001101011101…
…001000111010000000
31222020112000220010101
4103031131020322000
5314220432241440
613250440412144
71330103136241
oct231535107200
958215026111
1020626837120
11882534802a
123bb7a77054
131c3950b986
14dd9656cc8
1580acda69a
hex4cd748e80

20626837120 has 128 divisors (see below), whose sum is σ = 52288545600. Its totient is φ = 7753973760.

The previous prime is 20626837117. The next prime is 20626837151. The reversal of 20626837120 is 2173862602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20626837120.

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, 12739671 + ... + 12741289.

Almost surely, 220626837120 is an apocalyptic number.

20626837120 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 20626837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26144272800).

20626837120 is an abundant number, since it is smaller than the sum of its proper divisors (31661708480).

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

20626837120 is a wasteful number, since it uses less digits than its factorization.

20626837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 20626837120 in words is "twenty billion, six hundred twenty-six million, eight hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1171 1360 1619 2176 2342 2720 3238 4684 5440 5855 6476 8095 9368 10880 11710 12952 16190 18736 19907 23420 25904 27523 32380 37472 39814 46840 51808 55046 64760 74944 79628 93680 99535 103616 110092 129520 137615 149888 159256 187360 199070 207232 220184 259040 275230 318512 374720 398140 440368 518080 550460 637024 749440 796280 880736 1036160 1100920 1274048 1592560 1761472 1895849 2201840 2548096 3185120 3522944 3791698 4403680 6370240 7583396 8807360 9479245 12740480 15166792 17614720 18958490 30333584 32229433 37916980 60667168 64458866 75833960 121334336 128917732 151667920 161147165 242668672 257835464 303335840 322294330 515670928 606671680 644588660 1031341856 1213343360 1289177320 2062683712 2578354640 4125367424 5156709280 10313418560 20626837120