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21404685072 = 24331731931021
BaseRepresentation
bin10011111011110100…
…011001001100010000
32001020201200122220210
4103323310121030100
5322314044410242
613455544404120
71355266551441
oct237364311420
961221618823
1021404685072
119094428781
124194476640
132031706a34
141070a972c8
15854238d9c
hex4fbd19310

21404685072 has 160 divisors (see below), whose sum is σ = 58217829376. Its totient is φ = 6768230400.

The previous prime is 21404685061. The next prime is 21404685073. The reversal of 21404685072 is 27058640412.

It is a self number, because there is not a number n which added to its sum of digits gives 21404685072.

It is not an unprimeable number, because it can be changed into a prime (21404685073) 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, 20963922 + ... + 20964942.

Almost surely, 221404685072 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 21404685072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29108914688).

21404685072 is an abundant number, since it is smaller than the sum of its proper divisors (36813144304).

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

21404685072 is a wasteful number, since it uses less digits than its factorization.

21404685072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 21404685072 in words is "twenty-one billion, four hundred four million, six hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 193 219 248 292 372 386 438 496 579 584 744 772 876 1021 1158 1168 1488 1544 1752 2042 2263 2316 3063 3088 3504 4084 4526 4632 5983 6126 6789 8168 9052 9264 11966 12252 13578 14089 16336 17949 18104 23932 24504 27156 28178 31651 35898 36208 42267 47864 49008 54312 56356 63302 71796 74533 84534 94953 95728 108624 112712 126604 143592 149066 169068 189906 197053 223599 225424 253208 287184 298132 338136 379812 394106 436759 447198 506416 591159 596264 676272 759624 788212 873518 894396 1182318 1192528 1310277 1519248 1576424 1747036 1788792 2310523 2364636 2620554 3152848 3494072 3577584 4621046 4729272 5241108 6108643 6931569 6988144 9242092 9458544 10482216 12217286 13863138 14384869 18325929 18484184 20964432 24434572 27726276 28769738 36651858 36968368 43154607 48869144 55452552 57539476 73303716 86309214 97738288 110905104 115078952 146607432 172618428 230157904 293214864 345236856 445930939 690473712 891861878 1337792817 1783723756 2675585634 3567447512 5351171268 7134895024 10702342536 21404685072