Search a number
-
+
21909025280 = 29583971063
BaseRepresentation
bin10100011001111000…
…010011001000000000
32002112212200210121202
4110121320103020000
5324332202302110
614022002240332
71403632433162
oct243170231000
962485623552
1021909025280
119323089a6a
1242b53560a8
1320b204b4ac
1410bba5c932
1588365d0a5
hex519e13200

21909025280 has 160 divisors (see below), whose sum is σ = 53761809024. Its totient is φ = 8560705536.

The previous prime is 21909025253. The next prime is 21909025297. The reversal of 21909025280 is 8252090912.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20610029 + ... + 20611091.

Almost surely, 221909025280 is an apocalyptic number.

21909025280 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 21909025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26880904512).

21909025280 is an abundant number, since it is smaller than the sum of its proper divisors (31852783744).

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

21909025280 is an equidigital number, since it uses as much as digits as its factorization.

21909025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The spelling of 21909025280 in words is "twenty-one billion, nine hundred nine million, twenty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 97 128 160 166 194 256 320 332 388 415 485 512 640 664 776 830 970 1063 1280 1328 1552 1660 1940 2126 2560 2656 3104 3320 3880 4252 5312 5315 6208 6640 7760 8051 8504 10624 10630 12416 13280 15520 16102 17008 21248 21260 24832 26560 31040 32204 34016 40255 42496 42520 49664 53120 62080 64408 68032 80510 85040 88229 103111 106240 124160 128816 136064 161020 170080 176458 206222 212480 248320 257632 272128 322040 340160 352916 412444 441145 515264 515555 544256 644080 680320 705832 824888 882290 1030528 1031110 1288160 1360640 1411664 1649776 1764580 2061056 2062220 2576320 2721280 2823328 3299552 3529160 4122112 4124440 5152640 5646656 6599104 7058320 8248880 8558213 10305280 11293312 13198208 14116640 16497760 17116426 20610560 22586624 26396416 28233280 32995520 34232852 42791065 45173248 52792832 56466560 65991040 68465704 85582130 112933120 131982080 136931408 171164260 225866240 263964160 273862816 342328520 547725632 684657040 1095451264 1369314080 2190902528 2738628160 4381805056 5477256320 10954512640 21909025280