Search a number
-
+
21767240367132 = 223131912199733211
BaseRepresentation
bin1001111001100000101001…
…01000010011110000011100
32212001221001101222220010120
410330300110220103300130
510323113302013222012
6114143422052234540
74404426336213141
oct474602450236034
985057041886116
1021767240367132
116a32486797677
12253677890ba50
13c1b8464cb5a0
1455377bca83c8
1527b3388a158c
hex13cc14a13c1c

21767240367132 has 96 divisors (see below), whose sum is σ = 54987695960064. Its totient is φ = 6662042899200.

The previous prime is 21767240367121. The next prime is 21767240367239. The reversal of 21767240367132 is 23176304276712.

It is a super-2 number, since 2×217672403671322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655406007 + ... + 655439217.

It is an arithmetic number, because the mean of its divisors is an integer number (572788499584).

Almost surely, 221767240367132 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 21767240367132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27493847980032).

21767240367132 is an abundant number, since it is smaller than the sum of its proper divisors (33220455592932).

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

21767240367132 is a wasteful number, since it uses less digits than its factorization.

21767240367132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55419 (or 55417 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 51.

The spelling of 21767240367132 in words is "twenty-one trillion, seven hundred sixty-seven billion, two hundred forty million, three hundred sixty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2483 4966 7449 9932 14898 21997 29796 33211 43994 65991 66422 87988 99633 131982 132844 199266 263964 285961 398532 431743 571922 857883 863486 1143844 1295229 1715766 1726972 2590458 3431532 4201427 5180916 6343301 8402854 12604281 12686602 16805708 19029903 25208562 25373204 38059806 50417124 54618551 76119612 82462913 109237102 163855653 164925826 218474204 247388739 327711306 329851652 494777478 655422612 730542367 989554956 1461084734 2191627101 2922169468 4383254202 8766508404 9497050771 18994101542 28491152313 37988203084 56982304626 113964609252 139533592097 279067184194 418600776291 558134368388 837201552582 1674403105164 1813936697261 3627873394522 5441810091783 7255746789044 10883620183566 21767240367132