Search a number
-
+
21172000610208 = 253744970169161
BaseRepresentation
bin1001101000001011111011…
…00100110101011110100000
32202222000122010101020112110
410310011331210311132200
510233340224124011313
6113010141030355320
74313424624601620
oct464057544653640
982860563336473
1021172000610208
116822aa4434168
12245b3381bbb40
13ba7684b35676
14532a31d14880
1526aaeb8caec3
hex13417d9357a0

21172000610208 has 96 divisors (see below), whose sum is σ = 63657463766400. Its totient is φ = 6035670466560.

The previous prime is 21172000610197. The next prime is 21172000610209. The reversal of 21172000610208 is 80201600027112.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (21172000610209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34782853 + ... + 35386308.

It is an arithmetic number, because the mean of its divisors is an integer number (663098580900).

Almost surely, 221172000610208 is an apocalyptic number.

21172000610208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21172000610208 is an abundant number, since it is smaller than the sum of its proper divisors (42485463156192).

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

21172000610208 is a wasteful number, since it uses less digits than its factorization.

21172000610208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70169630 (or 70169622 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 21172000610208 in words is "twenty-one trillion, one hundred seventy-two billion, six hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 449 672 898 1347 1796 2694 3143 3592 5388 6286 7184 9429 10776 12572 14368 18858 21552 25144 37716 43104 50288 75432 100576 150864 301728 70169161 140338322 210507483 280676644 421014966 491184127 561353288 842029932 982368254 1122706576 1473552381 1684059864 1964736508 2245413152 2947104762 3368119728 3929473016 5894209524 6736239456 7858946032 11788419048 15717892064 23576838096 31505953289 47153676192 63011906578 94517859867 126023813156 189035719734 220541673023 252047626312 378071439468 441083346046 504095252624 661625019069 756142878936 882166692092 1008190505248 1323250038138 1512285757872 1764333384184 2646500076276 3024571515744 3528666768368 5293000152552 7057333536736 10586000305104 21172000610208