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21284469120 = 273522948409
BaseRepresentation
bin10011110100101001…
…110011100110000000
32000221100111001122010
4103310221303212000
5322042311002440
613440012012520
71352310000555
oct236451634600
960840431563
1021284469120
119032589752
124160161140
132012835735
14105cb22a2c
158488de580
hex4f4a73980

21284469120 has 128 divisors (see below), whose sum is σ = 68141916000. Its totient is φ = 5650956288.

The previous prime is 21284469109. The next prime is 21284469133. The reversal of 21284469120 is 2196448212.

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

It is a congruent number.

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, 415476 + ... + 463884.

Almost surely, 221284469120 is an apocalyptic number.

21284469120 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 21284469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34070958000).

21284469120 is an abundant number, since it is smaller than the sum of its proper divisors (46857446880).

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

21284469120 is a wasteful number, since it uses less digits than its factorization.

21284469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48660 (or 48648 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 21284469120 in words is "twenty-one billion, two hundred eighty-four million, four hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 229 240 320 384 458 480 640 687 916 960 1145 1374 1832 1920 2290 2748 3435 3664 4580 5496 6870 7328 9160 10992 13740 14656 18320 21984 27480 29312 36640 43968 48409 54960 73280 87936 96818 109920 145227 146560 193636 219840 242045 290454 387272 439680 484090 580908 726135 774544 968180 1161816 1452270 1549088 1936360 2323632 2904540 3098176 3872720 4647264 5809080 6196352 7745440 9294528 11085661 11618160 15490880 18589056 22171322 23236320 30981760 33256983 44342644 46472640 55428305 66513966 88685288 92945280 110856610 133027932 166284915 177370576 221713220 266055864 332569830 354741152 443426440 532111728 665139660 709482304 886852880 1064223456 1330279320 1418964608 1773705760 2128446912 2660558640 3547411520 4256893824 5321117280 7094823040 10642234560 21284469120