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4105025555124 = 22313311551915331
BaseRepresentation
bin111011101111000110100…
…101110000101010110100
3112112102210021210200210010
4323233012211300222310
51014224043020230444
612421453412100220
7602402234332614
oct73570645605264
915472707720703
104105025555124
111342a279a970a
125636b8904670
1323a143843820
141029819d4a44
1571bab4e82b9
hex3bbc6970ab4

4105025555124 has 96 divisors (see below), whose sum is σ = 10350910402560. Its totient is φ = 1258713187200.

The previous prime is 4105025555117. The next prime is 4105025555129. The reversal of 4105025555124 is 4215555205014.

It is a happy number.

It is a super-2 number, since 2×41050255551242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105025555129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 267752139 + ... + 267767469.

It is an arithmetic number, because the mean of its divisors is an integer number (107821983360).

Almost surely, 24105025555124 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 4105025555124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175455201280).

4105025555124 is an abundant number, since it is smaller than the sum of its proper divisors (6245884847436).

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

4105025555124 is a wasteful number, since it uses less digits than its factorization.

4105025555124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21181 (or 21179 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 39.

The spelling of 4105025555124 in words is "four trillion, one hundred five billion, twenty-five million, five hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 311 622 933 1244 1866 3732 4043 5519 8086 11038 12129 15331 16172 16557 22076 24258 30662 33114 45993 48516 61324 66228 71747 91986 143494 183972 199303 215241 286988 398606 430482 597909 797212 860964 1195818 1716409 2391636 3432818 4767941 5149227 6865636 9535882 10298454 14303823 19071764 20596908 22313317 28607646 44626634 57215292 61983233 66939951 84611789 89253268 123966466 133879902 169223578 185949699 247932932 253835367 267759804 338447156 371899398 507670734 743798796 1015341468 1099953257 2199906514 3299859771 4399813028 6599719542 13199439084 26314266379 52628532758 78942799137 105257065516 157885598274 315771196548 342085462927 684170925854 1026256388781 1368341851708 2052512777562 4105025555124