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4125225510 = 234576710859
BaseRepresentation
bin1111010111100001…
…1111001000100110
3101122111100011120000
43311320133020212
531422024204020
61521201522130
7204140560350
oct36570371046
911574304500
104125225510
111827644a8a
12971643346
13509857c53
142b1c300d0
1519225e090
hexf5e1f226

4125225510 has 160 divisors (see below), whose sum is σ = 12867275520. Its totient is φ = 928749888.

The previous prime is 4125225509. The next prime is 4125225523. The reversal of 4125225510 is 155225214.

4125225510 is a `hidden beast` number, since 4 + 125 + 2 + 25 + 510 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374461 + ... + 385319.

It is an arithmetic number, because the mean of its divisors is an integer number (80420472).

Almost surely, 24125225510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125225510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433637760).

4125225510 is an abundant number, since it is smaller than the sum of its proper divisors (8742050010).

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

4125225510 is a wasteful number, since it uses less digits than its factorization.

4125225510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 4125225510 is about 64227.9184623011. The cubic root of 4125225510 is about 1603.7963899630.

The spelling of 4125225510 in words is "four billion, one hundred twenty-five million, two hundred twenty-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 67 70 81 90 105 126 134 135 162 189 201 210 270 315 335 378 402 405 469 567 603 630 670 810 938 945 1005 1134 1206 1407 1809 1890 2010 2345 2814 2835 3015 3618 4221 4690 5427 5670 6030 7035 8442 9045 10854 10859 12663 14070 18090 21105 21718 25326 27135 32577 37989 42210 54270 54295 63315 65154 75978 76013 97731 108590 126630 152026 162885 189945 195462 228039 293193 325770 379890 380065 456078 488655 586386 684117 727553 760130 879579 977310 1140195 1368234 1455106 1465965 1759158 2052351 2182659 2280390 2931930 3420585 3637765 4104702 4365318 4397895 5092871 6157053 6547977 6841170 7275530 8795790 10185742 10261755 10913295 12314106 13095954 15278613 19643931 20523510 21826590 25464355 30557226 30785265 32739885 39287862 45835839 50928710 58931793 61570530 65479770 76393065 91671678 98219655 117863586 137507517 152786130 196439310 229179195 275015034 294658965 412522551 458358390 589317930 687537585 825045102 1375075170 2062612755 4125225510