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1004356164174 = 2311192837282313
BaseRepresentation
bin11101001110110000100…
…10101101101001001110
310120000102022022111022220
432213120102231221032
5112423410134223144
62045221142120210
7132363611352066
oct16473022555116
93500368274286
101004356164174
11357a43964580
12142798a20066
137393092108c
143687abd03a6
151b1d3de1919
hexe9d84ada4e

1004356164174 has 64 divisors (see below), whose sum is σ = 2307476540160. Its totient is φ = 288229259520.

The previous prime is 1004356164173. The next prime is 1004356164179. The reversal of 1004356164174 is 4714616534001.

It is a super-2 number, since 2×10043561641742 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004356164173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416442 + ... + 3698754.

It is an arithmetic number, because the mean of its divisors is an integer number (36054320940).

Almost surely, 21004356164174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004356164174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153738270080).

1004356164174 is an abundant number, since it is smaller than the sum of its proper divisors (1303120375986).

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

1004356164174 is a wasteful number, since it uses less digits than its factorization.

1004356164174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285185.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 1004356164174 in words is "one trillion, four billion, three hundred fifty-six million, one hundred sixty-four thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 2837 5674 8511 17022 31207 53903 62414 93621 107806 161709 187242 282313 323418 564626 592933 846939 1185866 1693878 1778799 3105443 3557598 5363947 6210886 9316329 10727894 16091841 18632658 32183682 59003417 118006834 177010251 354020502 800921981 1601843962 2402765943 4805531886 8810141791 15217517639 17620283582 26430425373 30435035278 45652552917 52860850746 91305105834 167392694029 334785388058 502178082087 1004356164174