Search a number
-
+
21312179712 = 29324879497
BaseRepresentation
bin10011110110010011…
…100000111000000000
32001000021121220102100
4103312103200320000
5322121404222322
613442441550400
71353064352505
oct236623407000
961007556370
1021312179712
11904719606a
1241694a5400
1320184b8635
1410626974ac
1584b064dac
hex4f64e0e00

21312179712 has 120 divisors (see below), whose sum is σ = 61641184176. Its totient is φ = 7088726016.

The previous prime is 21312179689. The next prime is 21312179719. The reversal of 21312179712 is 21797121312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312179719) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239348 + ... + 2248844.

Almost surely, 221312179712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312179712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30820592088).

21312179712 is an abundant number, since it is smaller than the sum of its proper divisors (40329004464).

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

21312179712 is an equidigital number, since it uses as much as digits as its factorization.

21312179712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10008 (or 9989 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The spelling of 21312179712 in words is "twenty-one billion, three hundred twelve million, one hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 487 512 576 768 974 1152 1461 1536 1948 2304 2922 3896 4383 4608 5844 7792 8766 9497 11688 15584 17532 18994 23376 28491 31168 35064 37988 46752 56982 62336 70128 75976 85473 93504 113964 124672 140256 151952 170946 187008 227928 249344 280512 303904 341892 374016 455856 561024 607808 683784 748032 911712 1122048 1215616 1367568 1823424 2244096 2431232 2735136 3646848 4625039 4862464 5470272 7293696 9250078 10940544 13875117 14587392 18500156 21881088 27750234 37000312 41625351 43762176 55500468 74000624 83250702 111000936 148001248 166501404 222001872 296002496 333002808 444003744 592004992 666005616 888007488 1184009984 1332011232 1776014976 2368019968 2664022464 3552029952 5328044928 7104059904 10656089856 21312179712