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147187228968 = 233213312163633
BaseRepresentation
bin1000100100010100001…
…0101110000100101000
3112001220201201221101200
42021011002232010220
54402414412311333
6151341125044200
713430302542423
oct2110502560450
9461821657350
10147187228968
115747039869a
1224638856660
1310b589002c0
1471a3da49ba
153c66bc0c13
hex22450ae128

147187228968 has 144 divisors (see below), whose sum is σ = 443593774260. Its totient is φ = 43827194880.

The previous prime is 147187228957. The next prime is 147187229017. The reversal of 147187228968 is 869822781741.

147187228968 is a `hidden beast` number, since 1 + 471 + 8 + 7 + 22 + 89 + 68 = 666.

147187228968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 109983763044 + 37203465924 = 331638^2 + 192882^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 817680 + ... + 981312.

Almost surely, 2147187228968 is an apocalyptic number.

147187228968 is a gapful number since it is divisible by the number (18) 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 147187228968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221796887130).

147187228968 is an abundant number, since it is smaller than the sum of its proper divisors (296406545292).

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

147187228968 is a wasteful number, since it uses less digits than its factorization.

147187228968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163720 (or 163682 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 147187228968 in words is "one hundred forty-seven billion, one hundred eighty-seven million, two hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 961 1116 1209 1612 1922 2232 2418 2883 3224 3627 3844 4836 5766 7254 7688 8649 9672 11532 12493 14508 17298 23064 24986 29016 34596 37479 49972 69192 74958 99944 112437 149916 163633 224874 299832 327266 449748 490899 654532 899496 981798 1309064 1472697 1963596 2127229 2945394 3927192 4254458 5072623 5890788 6381687 8508916 10145246 11781576 12763374 15217869 17017832 19145061 20290492 25526748 30435738 38290122 40580984 45653607 51053496 60871476 65944099 76580244 91307214 121742952 131888198 153160488 157251313 182614428 197832297 263776396 314502626 365228856 395664594 471753939 527552792 593496891 629005252 791329188 943507878 1186993782 1258010504 1415261817 1582658376 1887015756 2044267069 2373987564 2830523634 3774031512 4088534138 4747975128 5661047268 6132801207 8177068276 11322094536 12265602414 16354136552 18398403621 24531204828 36796807242 49062409656 73593614484 147187228968