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21957476552 = 231161103151263
BaseRepresentation
bin10100011100110001…
…001000000011001000
32002200020212101021022
4110130301020003020
5324432103222202
614030452532012
71405061320424
oct243461100310
962606771238
1021957476552
119348472140
124309621008
1320bc0b399b
1410c4271b84
15887a2dea2
hex51cc480c8

21957476552 has 128 divisors (see below), whose sum is σ = 46574161920. Its totient is φ = 9620640000.

The previous prime is 21957476537. The next prime is 21957476617. The reversal of 21957476552 is 25567475912.

It is a junction number, because it is equal to n+sod(n) for n = 21957476494 and 21957476503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83488373 + ... + 83488635.

It is an arithmetic number, because the mean of its divisors is an integer number (363860640).

Almost surely, 221957476552 is an apocalyptic number.

21957476552 is a gapful number since it is divisible by the number (22) 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 21957476552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287080960).

21957476552 is an abundant number, since it is smaller than the sum of its proper divisors (24616685368).

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

21957476552 is a wasteful number, since it uses less digits than its factorization.

21957476552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 53.

It can be divided in two parts, 2195 and 7476552, that added together give a palindrome (7478747).

The spelling of 21957476552 in words is "twenty-one billion, nine hundred fifty-seven million, four hundred seventy-six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 61 88 103 122 151 206 244 263 302 412 488 526 604 671 824 1052 1133 1208 1342 1661 2104 2266 2684 2893 3322 4532 5368 5786 6283 6644 9064 9211 11572 12566 13288 15553 16043 18422 23144 25132 27089 31106 32086 36844 39713 50264 54178 62212 64172 69113 73688 79426 101321 108356 124424 128344 138226 158852 171083 176473 202642 216712 276452 297979 317704 342166 352946 405284 436843 552904 595958 684332 705892 810568 873686 948733 1191916 1368664 1411784 1652429 1747372 1897466 2383832 2422493 3304858 3494744 3794932 4090439 4844986 6609716 7589864 8180878 9689972 10436063 13219432 16361756 18176719 19379944 20872126 26647423 32723512 36353438 41744252 44994829 53294846 72706876 83488504 89989658 106589692 145413752 179979316 213179384 249516779 359958632 499033558 998067116 1996134232 2744684569 5489369138 10978738276 21957476552