Search a number
-
+
21709441920 = 273529273863
BaseRepresentation
bin10100001101111110…
…111100101110000000
32002000222010220201110
4110031332330232000
5323430104120140
613550112403320
71365660132405
oct241576745600
962028126643
1021709441920
119230461041
12425a546540
13207c8aba2a
14109d3482ac
15870d87380
hex50dfbcb80

21709441920 has 128 divisors (see below), whose sum is σ = 69240407040. Its totient is φ = 5785708544.

The previous prime is 21709441891. The next prime is 21709441921. The reversal of 21709441920 is 2914490712.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21709441921) 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, 5617909 + ... + 5621771.

It is an arithmetic number, because the mean of its divisors is an integer number (540940680).

Almost surely, 221709441920 is an apocalyptic number.

21709441920 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 21709441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34620203520).

21709441920 is an abundant number, since it is smaller than the sum of its proper divisors (47530965120).

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

21709441920 is a wasteful number, since it uses less digits than its factorization.

21709441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 21709441920 in words is "twenty-one billion, seven hundred nine million, four hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2927 3863 5854 7726 8781 11589 11708 14635 15452 17562 19315 23178 23416 29270 30904 35124 38630 43905 46356 46832 57945 58540 61808 70248 77260 87810 92712 93664 115890 117080 123616 140496 154520 175620 185424 187328 231780 234160 247232 280992 309040 351240 370848 374656 463560 468320 494464 561984 618080 702480 741696 927120 936640 1123968 1236160 1404960 1483392 1854240 1873280 2472320 2809920 3708480 5619840 7416960 11307001 22614002 33921003 45228004 56535005 67842006 90456008 113070010 135684012 169605015 180912016 226140020 271368024 339210030 361824032 452280040 542736048 678420060 723648064 904560080 1085472096 1356840120 1447296128 1809120160 2170944192 2713680240 3618240320 4341888384 5427360480 7236480640 10854720960 21709441920