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20920825184 = 257210921123
BaseRepresentation
bin10011011110111110…
…100111010101100000
32000000000020000221012
4103132332213111200
5320321212401214
613335541520052
71340303036300
oct233676472540
960000200835
1020920825184
118966295676
12407a413028
131c853b31cc
141026703600
15826a0d03e
hex4defa7560

20920825184 has 108 divisors (see below), whose sum is σ = 48399081444. Its totient is φ = 8875899648.

The previous prime is 20920825181. The next prime is 20920825229. The reversal of 20920825184 is 48152802902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20920825181) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18628847 + ... + 18629969.

It is an arithmetic number, because the mean of its divisors is an integer number (448139643).

Almost surely, 220920825184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20920825184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24199540722).

20920825184 is an abundant number, since it is smaller than the sum of its proper divisors (27478256260).

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

20920825184 is a wasteful number, since it uses less digits than its factorization.

20920825184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 20920825184 in words is "twenty billion, nine hundred twenty million, eight hundred twenty-five thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 109 112 196 218 224 392 436 763 784 872 1123 1526 1568 1744 2246 3052 3488 4492 5341 6104 7861 8984 10682 11881 12208 15722 17968 21364 23762 24416 31444 35936 42728 47524 55027 62888 83167 85456 95048 110054 122407 125776 166334 170912 190096 220108 244814 251552 332668 380192 440216 489628 582169 665336 856849 880432 979256 1164338 1330672 1713698 1760864 1958512 2328676 2661344 3427396 3917024 4657352 5997943 6854792 9314704 11995886 13342363 13709584 18629408 23991772 26684726 27419168 47983544 53369452 93396541 95967088 106738904 186793082 191934176 213477808 373586164 426955616 653775787 747172328 1307551574 1494344656 2615103148 2988689312 5230206296 10460412592 20920825184