Search a number
-
+
21271126848 = 2631953110017
BaseRepresentation
bin10011110011110110…
…111010001101000000
32000220102101012110220
4103303312322031000
5322030402024343
613434414023040
71352055411036
oct236366721500
960812335426
1021271126848
119025aa6484
1241577a7a80
13200cb437ba
14105b04c556
15847656183
hex4f3dba340

21271126848 has 112 divisors (see below), whose sum is σ = 60360275520. Its totient is φ = 6590398464.

The previous prime is 21271126847. The next prime is 21271126859. The reversal of 21271126848 is 84862117212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21271126847) 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, 138336 + ... + 248352.

Almost surely, 221271126848 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 21271126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30180137760).

21271126848 is an abundant number, since it is smaller than the sum of its proper divisors (39089148672).

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

21271126848 is a wasteful number, since it uses less digits than its factorization.

21271126848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110104 (or 110094 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The spelling of 21271126848 in words is "twenty-one billion, two hundred seventy-one million, one hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 152 159 192 212 228 304 318 424 456 608 636 848 912 1007 1216 1272 1696 1824 2014 2544 3021 3392 3648 4028 5088 6042 8056 10176 12084 16112 24168 32224 48336 64448 96672 110017 193344 220034 330051 440068 660102 880136 1320204 1760272 2090323 2640408 3520544 4180646 5280816 5830901 6270969 7041088 8361292 10561632 11661802 12541938 16722584 17492703 21123264 23323604 25083876 33445168 34985406 46647208 50167752 66890336 69970812 93294416 100335504 110787119 133780672 139941624 186588832 200671008 221574238 279883248 332361357 373177664 401342016 443148476 559766496 664722714 886296952 1119532992 1329445428 1772593904 2658890856 3545187808 5317781712 7090375616 10635563424 21271126848