Search a number
-
+
149560169850 = 235527131773109
BaseRepresentation
bin1000101101001001111…
…0110001010101111010
3112022001002211211100000
42023102132301111322
54422244400413400
6152412413253430
713543145316420
oct2132236612572
9468032754300
10149560169850
11584788a9263
1224b9b494276
1311146403730
14734b1bd110
153d5519e600
hex22d27b157a

149560169850 has 1152 divisors, whose sum is σ = 555519444480. Its totient is φ = 29023764480.

The previous prime is 149560169849. The next prime is 149560169887. The reversal of 149560169850 is 58961065941.

149560169850 is a `hidden beast` number, since 1 + 495 + 6 + 0 + 16 + 98 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1372111596 + ... + 1372111704.

It is an arithmetic number, because the mean of its divisors is an integer number (482221740).

Almost surely, 2149560169850 is an apocalyptic number.

149560169850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149560169850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277759722240).

149560169850 is an abundant number, since it is smaller than the sum of its proper divisors (405959274630).

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

149560169850 is a wasteful number, since it uses less digits than its factorization.

149560169850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 149560169850 in words is "one hundred forty-nine billion, five hundred sixty million, one hundred sixty-nine thousand, eight hundred fifty".