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20605282640 = 24519127173617
BaseRepresentation
bin10011001100001010…
…111010100101010000
31222012000110210221022
4103030022322211100
5314144423021030
613244350415012
71326422004215
oct231412724520
958160423838
1020605282640
118814165908
123bb0801468
131c34c02b47
14dd6845b0c
15808e7dde5
hex4cc2ba950

20605282640 has 160 divisors (see below), whose sum is σ = 51202437120. Its totient is φ = 7689572352.

The previous prime is 20605282639. The next prime is 20605282699. The reversal of 20605282640 is 4628250602.

It is a self number, because there is not a number n which added to its sum of digits gives 20605282640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33395612 + ... + 33396228.

It is an arithmetic number, because the mean of its divisors is an integer number (320015232).

Almost surely, 220605282640 is an apocalyptic number.

20605282640 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 20605282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25601218560).

20605282640 is an abundant number, since it is smaller than the sum of its proper divisors (30597154480).

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

20605282640 is a wasteful number, since it uses less digits than its factorization.

20605282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 20605282640 in words is "twenty billion, six hundred five million, two hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 127 152 173 190 254 304 346 380 508 617 635 692 760 865 1016 1234 1270 1384 1520 1730 2032 2413 2468 2540 2768 3085 3287 3460 4826 4936 5080 6170 6574 6920 9652 9872 10160 11723 12065 12340 13148 13840 16435 19304 21971 23446 24130 24680 26296 32870 38608 43942 46892 48260 49360 52592 58615 65740 78359 87884 93784 96520 106741 109855 117230 131480 156718 175768 187568 193040 213482 219710 234460 262960 313436 351536 391795 417449 426964 439420 468920 533705 626872 783590 834898 853928 878840 937840 1067410 1253744 1488821 1567180 1669796 1707856 1757680 2028079 2087245 2134820 2977642 3134360 3339592 4056158 4174490 4269640 5955284 6268720 6679184 7444105 8112316 8348980 8539280 10140395 11910568 13556107 14888210 16224632 16697960 20280790 23821136 27112214 29776420 32449264 33395920 40561580 54224428 59552840 67780535 81123160 108448856 119105680 135561070 162246320 216897712 257566033 271122140 515132066 542244280 1030264132 1084488560 1287830165 2060528264 2575660330 4121056528 5151320660 10302641320 20605282640