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21211505520 = 2435199444127
BaseRepresentation
bin10011110000010011…
…011110001101110000
32000202021012010101120
4103300103132031300
5321420121134040
613424444102240
71350432551652
oct236023361560
960667163346
1021211505520
118aa5384057
12413b834980
132000699cca
14105316c6d2
158422ca7d0
hex4f04de370

21211505520 has 80 divisors (see below), whose sum is σ = 66086246400. Its totient is φ = 5627964672.

The previous prime is 21211505509. The next prime is 21211505527. The reversal of 21211505520 is 2550511212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21211505527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174304 + ... + 269823.

It is an arithmetic number, because the mean of its divisors is an integer number (826078080).

Almost surely, 221211505520 is an apocalyptic number.

21211505520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211505520 is an abundant number, since it is smaller than the sum of its proper divisors (44874740880).

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

21211505520 is a wasteful number, since it uses less digits than its factorization.

21211505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444342 (or 444336 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The spelling of 21211505520 in words is "twenty-one billion, two hundred eleven million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 398 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 7960 9552 11940 15920 23880 47760 444127 888254 1332381 1776508 2220635 2664762 3553016 4441270 5329524 6661905 7106032 8882540 10659048 13323810 17765080 21318096 26647620 35530160 53295240 88381273 106590480 176762546 265143819 353525092 441906365 530287638 707050184 883812730 1060575276 1325719095 1414100368 1767625460 2121150552 2651438190 3535250920 4242301104 5302876380 7070501840 10605752760 21211505520