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4033116113304 = 2331731973287359
BaseRepresentation
bin111010101100001000011…
…101000000100110011000
3112021120011210111120011010
4322230020131000212120
51012034310211111204
612324442111133520
7564245243220315
oct72541035004630
915246153446133
104033116113304
1113154869a2753
1255178a5142a0
1323342393ab55
14dd2bd577d0c
156ed9d461d89
hex3ab08740998

4033116113304 has 128 divisors (see below), whose sum is σ = 11133893836800. Its totient is φ = 1211851653120.

The previous prime is 4033116113303. The next prime is 4033116113311.

4033116113304 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033116113303) 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 31 ways as a sum of consecutive naturals, for example, 416824 + ... + 2870535.

It is an arithmetic number, because the mean of its divisors is an integer number (86983545600).

Almost surely, 24033116113304 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 4033116113304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566946918400).

4033116113304 is an abundant number, since it is smaller than the sum of its proper divisors (7100777723496).

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

4033116113304 is a wasteful number, since it uses less digits than its factorization.

4033116113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287513 (or 3287509 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 4033116113304 in words is "four trillion, thirty-three billion, one hundred sixteen million, one hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 97 102 124 136 186 194 204 248 291 372 388 408 527 582 744 776 1054 1164 1581 1649 2108 2328 3007 3162 3298 4216 4947 6014 6324 6596 9021 9894 12028 12648 13192 18042 19788 24056 36084 39576 51119 72168 102238 153357 204476 306714 408952 613428 1226856 3287359 6574718 9862077 13149436 19724154 26298872 39448308 55885103 78896616 101908129 111770206 167655309 203816258 223540412 305724387 318873823 335310618 407632516 447080824 611448774 637747646 670621236 815265032 956621469 1222897548 1275495292 1341242472 1732438193 1913242938 2445795096 2550990584 3464876386 3826485876 5197314579 5420854991 6929752772 7652971752 9885088513 10394629158 10841709982 13859505544 16262564973 19770177026 20789258316 21683419964 29655265539 32525129946 39540354052 41578516632 43366839928 59310531078 65050259892 79080708104 118621062156 130100519784 168046504721 237242124312 336093009442 504139514163 672186018884 1008279028326 1344372037768 2016558056652 4033116113304