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125660324196 = 22321124121312
BaseRepresentation
bin111010100000111110…
…0000110000101100100
3110000100111001212120100
41311001330012011210
54024323020333241
6133421052504100
712035660063211
oct1650174060544
9400314055510
10125660324196
1149323a82500
122042b47b030
13bb07aa3224
146120db4b08
153406d939b6
hex1d41f06164

125660324196 has 243 divisors, whose sum is σ = 360619039417. Its totient is φ = 36866544000.

The previous prime is 125660324173. The next prime is 125660324197. The reversal of 125660324196 is 691423066521.

The square root of 125660324196 is 354486.

It is a perfect power (a square), and thus also a powerful number.

125660324196 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 603 + 24 + 19 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6055018596 + 119605305600 = 77814^2 + 345840^2 .

It is a super-3 number, since 3×1256603241963 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125660324197) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 959239051 + ... + 959239181.

Almost surely, 2125660324196 is an apocalyptic number.

125660324196 is the 354486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125660324196

125660324196 is an abundant number, since it is smaller than the sum of its proper divisors (234958715221).

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

125660324196 is a wasteful number, since it uses less digits than its factorization.

125660324196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 125660324196 in words is "one hundred twenty-five billion, six hundred sixty million, three hundred twenty-four thousand, one hundred ninety-six".