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511104104 = 237219163421
BaseRepresentation
bin11110011101101…
…101010001101000
31022121201210000122
4132131231101220
52021320312404
6122414422412
715444212300
oct3635552150
91277653018
10511104104
11242561095
12123201a08
1381b72384
144bc46600
152ed0d3be
hex1e76d468

511104104 has 96 divisors (see below), whose sum is σ = 1183456800. Its totient is φ = 205752960.

The previous prime is 511104071. The next prime is 511104131. The reversal of 511104104 is 401401115.

It is a super-2 number, since 2×5111041042 = 522454810251285632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1213814 + ... + 1214234.

It is an arithmetic number, because the mean of its divisors is an integer number (12327675).

Almost surely, 2511104104 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 511104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591728400).

511104104 is an abundant number, since it is smaller than the sum of its proper divisors (672352696).

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

511104104 is a wasteful number, since it uses less digits than its factorization.

511104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 511104104 is about 22607.6116385610. The cubic root of 511104104 is about 799.5331150761.

Adding to 511104104 its reverse (401401115), we get a palindrome (912505219).

The spelling of 511104104 in words is "five hundred eleven million, one hundred four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 163 196 266 326 392 421 532 652 842 931 1064 1141 1304 1684 1862 2282 2947 3097 3368 3724 4564 5894 6194 7448 7987 7999 9128 11788 12388 15974 15998 20629 21679 23576 24776 31948 31996 41258 43358 55993 63896 63992 68623 82516 86716 111986 137246 151753 165032 173432 223972 274492 303506 391951 447944 480361 548984 607012 783902 960722 1214024 1303837 1567804 1921444 2607674 3135608 3362527 3842888 5215348 6725054 9126859 10430696 13450108 18253718 26900216 36507436 63888013 73014872 127776026 255552052 511104104