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72338119128 = 233211191478199
BaseRepresentation
bin100001101011110110…
…0000001100111011000
320220201100221012100100
41003113230001213120
52141122024303003
653122012535400
75140414603332
oct1032754014730
9226640835310
1072338119128
1128750a89630
1212029a81560
136a8a9781b2
143703368452
151d35a11ba3
hex10d7b019d8

72338119128 has 96 divisors (see below), whose sum is σ = 214845696000. Its totient is φ = 21805828800.

The previous prime is 72338119111. The next prime is 72338119171. The reversal of 72338119128 is 82191183327.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 87828 + ... + 390371.

It is an arithmetic number, because the mean of its divisors is an integer number (2237976000).

Almost surely, 272338119128 is an apocalyptic number.

It is an amenable number.

72338119128 is an abundant number, since it is smaller than the sum of its proper divisors (142507576872).

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

72338119128 is a wasteful number, since it uses less digits than its factorization.

72338119128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478413 (or 478406 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 72338119128 in words is "seventy-two billion, three hundred thirty-eight million, one hundred nineteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 191 198 264 382 396 573 764 792 1146 1528 1719 2101 2292 3438 4202 4584 6303 6876 8404 12606 13752 16808 18909 25212 37818 50424 75636 151272 478199 956398 1434597 1912796 2869194 3825592 4303791 5260189 5738388 8607582 10520378 11476776 15780567 17215164 21040756 31561134 34430328 42081512 47341701 63122268 91336009 94683402 126244536 182672018 189366804 274008027 365344036 378733608 548016054 730688072 822024081 1004696099 1096032108 1644048162 2009392198 2192064216 3014088297 3288096324 4018784396 6028176594 6576192648 8037568792 9042264891 12056353188 18084529782 24112706376 36169059564 72338119128