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368168424272 = 241119331332623
BaseRepresentation
bin1010101101110001000…
…11000101001101010000
31022012022021211210001122
411112320203011031100
522013002104034042
6441044555021412
735412361654145
oct5267043051520
91265267753048
10368168424272
11132159528420
125b42aa3a868
132894497bc2c
1413b687c23cc
15989c0ca7d2
hex55b88c5350

368168424272 has 80 divisors (see below), whose sum is σ = 821607889920. Its totient is φ = 158061974400.

The previous prime is 368168424271. The next prime is 368168424287. The reversal of 368168424272 is 272424861863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368168424271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940553 + ... + 1273175.

It is an arithmetic number, because the mean of its divisors is an integer number (10270098624).

Almost surely, 2368168424272 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 368168424272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410803944960).

368168424272 is an abundant number, since it is smaller than the sum of its proper divisors (453439465648).

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

368168424272 is a wasteful number, since it uses less digits than its factorization.

368168424272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332992 (or 332986 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 53.

The spelling of 368168424272 in words is "three hundred sixty-eight billion, one hundred sixty-eight million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 331 418 662 836 1324 1672 2648 3344 3641 5296 6289 7282 12578 14564 25156 29128 50312 58256 69179 100624 138358 276716 332623 553432 665246 1106864 1330492 2660984 3658853 5321968 6319837 7317706 12639674 14635412 25279348 29270824 50558696 58541648 69518207 101117392 110098213 139036414 220196426 278072828 440392852 556145656 880785704 1112291312 1211080343 1761571408 2091866047 2422160686 4183732094 4844321372 8367464188 9688642744 16734928376 19377285488 23010526517 33469856752 46021053034 92042106068 184084212136 368168424272