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21311755556 = 22713413893671
BaseRepresentation
bin10011110110010001…
…111001010100100100
32001000020211100120212
4103312101321110210
5322121302134211
613442424514552
71353060635060
oct236621712444
961006740525
1021311755556
119046a26423
12416931ba58
13201839a560
1410625c6aa0
1584aece38b
hex4f6479524

21311755556 has 96 divisors (see below), whose sum is σ = 47155530240. Its totient is φ = 8202009600.

The previous prime is 21311755547. The next prime is 21311755559. The reversal of 21311755556 is 65555711312.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (21311755559) 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 31 ways as a sum of consecutive naturals, for example, 5803601 + ... + 5807271.

It is an arithmetic number, because the mean of its divisors is an integer number (491203440).

Almost surely, 221311755556 is an apocalyptic number.

21311755556 is a gapful number since it is divisible by the number (26) 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 21311755556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

21311755556 is an abundant number, since it is smaller than the sum of its proper divisors (25843774684).

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

21311755556 is a wasteful number, since it uses less digits than its factorization.

21311755556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4123 counting only the distinct ones).

The product of its digits is 157500, while the sum is 41.

The spelling of 21311755556 in words is "twenty-one billion, three hundred eleven million, seven hundred fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 389 533 574 778 1066 1148 1556 2132 2723 3671 3731 5057 5446 7342 7462 10114 10892 14684 14924 15949 20228 25697 31898 35399 47723 51394 63796 70798 95446 102788 111643 141596 150511 190892 207337 223286 301022 334061 414674 446572 602044 668122 829348 1053577 1336244 1428019 1451359 1956643 2107154 2856038 2902718 3913286 4214308 5712076 5805436 7826572 9996133 13696501 18564247 19992266 27393002 37128494 39984532 54786004 58548779 74256988 117097558 129949729 234195116 259899458 409841453 519798916 761134127 819682906 1522268254 1639365812 3044536508 5327938889 10655877778 21311755556