Search a number
-
+
269194199040 = 2153351331151
BaseRepresentation
bin1111101010110100111…
…0011000000000000000
3221201211121101012021000
43322231032120000000
513402302203332130
6323355513532000
725306611636504
oct3725516300000
9851747335230
10269194199040
11a418a120068
1244208714000
131c500832410
14d059a9c304
157007e64260
hex3ead398000

269194199040 has 1024 divisors, whose sum is σ = 1071041126400. Its totient is φ = 63700992000.

The previous prime is 269194199017. The next prime is 269194199051. The reversal of 269194199040 is 40991491962.

269194199040 is a `hidden beast` number, since 269 + 194 + 199 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1782742965 + ... + 1782743115.

It is an arithmetic number, because the mean of its divisors is an integer number (1045938600).

Almost surely, 2269194199040 is an apocalyptic number.

269194199040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 269194199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535520563200).

269194199040 is an abundant number, since it is smaller than the sum of its proper divisors (801846927360).

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

269194199040 is a wasteful number, since it uses less digits than its factorization.

269194199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 269194199040 in words is "two hundred sixty-nine billion, one hundred ninety-four million, one hundred ninety-nine thousand, forty".