Search a number
-
+
21520444010010 = 235111791609226427
BaseRepresentation
bin1001110010010100111100…
…11010111010111000011010
32211012100000202002221212020
410321022132122322320122
510310042332131310020
6113434204441555310
74350541443615111
oct471123632727032
984170022087766
1021520444010010
116947850674770
1224b69811a5b36
13c014a508538a
14545848b4cc78
15274be1e54c40
hex13929e6bae1a

21520444010010 has 128 divisors (see below), whose sum is σ = 56694672921600. Its totient is φ = 5184684433920.

The previous prime is 21520444009993. The next prime is 21520444010029. The reversal of 21520444010010 is 1001044402512.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94930417 + ... + 95156843.

It is an arithmetic number, because the mean of its divisors is an integer number (442927132200).

Almost surely, 221520444010010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21520444010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28347336460800).

21520444010010 is an abundant number, since it is smaller than the sum of its proper divisors (35174228911590).

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

21520444010010 is a wasteful number, since it uses less digits than its factorization.

21520444010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228236.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 21520444010010 its reverse (1001044402512), we get a palindrome (22521488412522).

The spelling of 21520444010010 in words is "twenty-one trillion, five hundred twenty billion, four hundred forty-four million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 179 330 358 537 895 1074 1609 1790 1969 2685 3218 3938 4827 5370 5907 8045 9654 9845 11814 16090 17699 19690 24135 29535 35398 48270 53097 59070 88495 106194 176990 226427 265485 288011 452854 530970 576022 679281 864033 1132135 1358562 1440055 1728066 2264270 2490697 2880110 3168121 3396405 4320165 4981394 6336242 6792810 7472091 8640330 9504363 12453485 14944182 15840605 19008726 24906970 31681210 37360455 40530433 47521815 74720910 81060866 95043630 121591299 202652165 243182598 364321043 405304330 445834763 607956495 728642086 891669526 1092963129 1215912990 1337504289 1821605215 2185926258 2229173815 2675008578 3643210430 4007531473 4458347630 5464815645 6687521445 8015062946 10929631290 12022594419 13375042890 20037657365 24045188838 40075314730 60112972095 65213466697 120225944190 130426933394 195640400091 326067333485 391280800182 652134666970 717348133667 978202000455 1434696267334 1956404000910 2152044401001 3586740668335 4304088802002 7173481336670 10760222005005 21520444010010