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125210500164 = 223737386839
BaseRepresentation
bin111010010011100100…
…0001001110001000100
3102222012010122110000000
41310213020021301010
54022412342001124
6133304303321300
712021555455661
oct1644710116104
9388163573000
10125210500164
1149113077002
12203248b0230
13ba65838669
1460bb360a68
1533cc63c6c9
hex1d27209c44

125210500164 has 96 divisors (see below), whose sum is σ = 337510163200. Its totient is φ = 40608705888.

The previous prime is 125210500133. The next prime is 125210500229. The reversal of 125210500164 is 461005012521.

125210500164 is a `hidden beast` number, since 125 + 21 + 0 + 500 + 16 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130257 + ... + 517095.

Almost surely, 2125210500164 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 125210500164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168755081600).

125210500164 is an abundant number, since it is smaller than the sum of its proper divisors (212299663036).

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

125210500164 is an equidigital number, since it uses as much as digits as its factorization.

125210500164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386901 (or 386881 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 125210500164 its reverse (461005012521), we get a palindrome (586215512685).

The spelling of 125210500164 in words is "one hundred twenty-five billion, two hundred ten million, five hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2187 2916 2997 3996 4374 5994 8748 8991 11988 17982 26973 35964 53946 80919 107892 161838 323676 386839 773678 1160517 1547356 2321034 3481551 4642068 6963102 10444653 13926204 14313043 20889306 28626086 31333959 41778612 42939129 57252172 62667918 85878258 94001877 125335836 128817387 171756516 188003754 257634774 282005631 376007508 386452161 515269548 564011262 772904322 846016893 1128022524 1159356483 1545808644 1692033786 2318712966 3384067572 3478069449 4637425932 6956138898 10434208347 13912277796 20868416694 31302625041 41736833388 62605250082 125210500164