Search a number
-
+
171861890144 = 257767240581
BaseRepresentation
bin1010000000001111000…
…1000101010001100000
3121102121100110121020112
42200003301011101200
510303433120441034
6210541404430452
715262616651210
oct2400361052140
9542540417215
10171861890144
116698261385a
1229384248428
131328b906529
148465060240
15470d02b7ce
hex2803c45460

171861890144 has 24 divisors (see below), whose sum is σ = 386689253328. Its totient is φ = 73655095680.

The previous prime is 171861890107. The next prime is 171861890147. The reversal of 171861890144 is 441098168171.

It is a junction number, because it is equal to n+sod(n) for n = 171861890092 and 171861890101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171861890147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383620067 + ... + 383620514.

It is an arithmetic number, because the mean of its divisors is an integer number (16112052222).

Almost surely, 2171861890144 is an apocalyptic number.

171861890144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

171861890144 is an abundant number, since it is smaller than the sum of its proper divisors (214827363184).

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

171861890144 is an equidigital number, since it uses as much as digits as its factorization.

171861890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767240598 (or 767240590 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 50.

The spelling of 171861890144 in words is "one hundred seventy-one billion, eight hundred sixty-one million, eight hundred ninety thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 767240581 1534481162 3068962324 5370684067 6137924648 10741368134 12275849296 21482736268 24551698592 42965472536 85930945072 171861890144