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20621785920 = 2635111719231
BaseRepresentation
bin10011001101001001…
…110111101101000000
31222020011112021011220
4103031021313231000
5314213134122140
613250140235040
71330012200561
oct231511675500
958204467156
1020621785920
118822507a8a
123bb623ba80
131c384607b8
14dd8b00168
1580a63dbd0
hex4cd277b40

20621785920 has 112 divisors (see below), whose sum is σ = 65536194048. Its totient is φ = 5493934080.

The previous prime is 20621785913. The next prime is 20621785957. The reversal of 20621785920 is 2958712602.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1062705 + ... + 1081935.

Almost surely, 220621785920 is an apocalyptic number.

20621785920 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 20621785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32768097024).

20621785920 is an abundant number, since it is smaller than the sum of its proper divisors (44914408128).

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

20621785920 is a wasteful number, since it uses less digits than its factorization.

20621785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20368 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 20621785920 in words is "twenty billion, six hundred twenty-one million, seven hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1117 2234 3351 4468 5585 6702 8936 11170 13404 16755 17872 19231 22340 26808 33510 35744 38462 44680 53616 57693 67020 71488 76924 89360 96155 107232 115386 134040 153848 178720 192310 214464 230772 268080 288465 307696 357440 384620 461544 536160 576930 615392 769240 923088 1072320 1153860 1230784 1538480 1846176 2307720 3076960 3692352 4615440 6153920 9230880 18461760 21481027 42962054 64443081 85924108 107405135 128886162 171848216 214810270 257772324 322215405 343696432 429620540 515544648 644430810 687392864 859241080 1031089296 1288861620 1374785728 1718482160 2062178592 2577723240 3436964320 4124357184 5155446480 6873928640 10310892960 20621785920