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4026118116204 = 22322397193259733
BaseRepresentation
bin111010100101100111010…
…101110001001101101100
3112020220010002112110211100
4322211213111301031230
51011430442214204304
612321323443523100
7563606650222362
oct72454725611554
915226102473740
104026118116204
111312515796978
12550356989490
13232879b86772
14dcc17dbd632
156eaddde1439
hex3a96757136c

4026118116204 has 144 divisors (see below), whose sum is σ = 10784729172672. Its totient is φ = 1263868379136.

The previous prime is 4026118116199. The next prime is 4026118116211.

4026118116204 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 1 + 18 + 11 + 620 + 4 = 666.

4026118116204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15371122 + ... + 15630854.

It is an arithmetic number, because the mean of its divisors is an integer number (74893952588).

Almost surely, 24026118116204 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 4026118116204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392364586336).

4026118116204 is an abundant number, since it is smaller than the sum of its proper divisors (6758611056468).

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

4026118116204 is a wasteful number, since it uses less digits than its factorization.

4026118116204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260056 (or 260051 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4026118116204 in words is "four trillion, twenty-six billion, one hundred eighteen million, one hundred sixteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 138 193 194 207 276 291 386 388 414 579 582 772 828 873 1158 1164 1737 1746 2231 2316 3474 3492 4439 4462 6693 6948 8878 8924 13317 13386 17756 18721 20079 26634 26772 37442 39951 40158 53268 56163 74884 79902 80316 112326 159804 168489 224652 259733 336978 430583 519466 673956 779199 861166 1038932 1291749 1558398 1722332 2337597 2583498 3116796 3875247 4675194 5166996 5973859 7750494 9350388 11947718 15500988 17921577 23895436 25194101 35843154 50128469 50388202 53764731 71686308 75582303 100256938 100776404 107529462 150385407 151164606 200513876 215058924 226746909 300770814 302329212 451156221 453493818 579464323 601541628 902312442 906987636 1152954787 1158928646 1738392969 1804624884 2305909574 2317857292 3458864361 3476785938 4611819148 4862461493 5215178907 6917728722 6953571876 9724922986 10376593083 10430357814 13835457444 14587384479 19449845972 20753186166 20860715628 29174768958 41506372332 43762153437 58349537916 87524306874 111836614339 175048613748 223673228678 335509843017 447346457356 671019686034 1006529529051 1342039372068 2013059058102 4026118116204