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2428542071184 = 243177141917669
BaseRepresentation
bin100011010101110000011…
…000110011000110010000
322121011111021100122222110
4203111300120303012100
5304242123232234214
65055353512505320
7340312352002425
oct43256030630620
98534437318873
102428542071184
11856a36761769
123328019ab240
1314801a1b5a18
14857835c9d4c
154328a516159
hex23570633190

2428542071184 has 80 divisors (see below), whose sum is σ = 6736337239680. Its totient is φ = 751164610560.

The previous prime is 2428542071143. The next prime is 2428542071191. The reversal of 2428542071184 is 4811702458242.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 20900899 + ... + 21016770.

It is an arithmetic number, because the mean of its divisors is an integer number (84204215496).

Almost surely, 22428542071184 is an apocalyptic number.

2428542071184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428542071184 is an abundant number, since it is smaller than the sum of its proper divisors (4307795168496).

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

2428542071184 is a wasteful number, since it uses less digits than its factorization.

2428542071184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41917768 (or 41917762 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The spelling of 2428542071184 in words is "two trillion, four hundred twenty-eight billion, five hundred forty-two million, seventy-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 71 102 136 142 204 213 272 284 408 426 568 816 852 1136 1207 1704 2414 3408 3621 4828 7242 9656 14484 19312 28968 57936 41917669 83835338 125753007 167670676 251506014 335341352 503012028 670682704 712600373 1006024056 1425200746 2012048112 2137801119 2850401492 2976154499 4275602238 5700802984 5952308998 8551204476 8928463497 11401605968 11904617996 17102408952 17856926994 23809235992 34204817904 35713853988 47618471984 50594626483 71427707976 101189252966 142855415952 151783879449 202378505932 303567758898 404757011864 607135517796 809514023728 1214271035592 2428542071184