Search a number
-
+
354828325950 = 233527192472213
BaseRepresentation
bin1010010100111010110…
…10101001010000111110
31020220212121002120102000
411022131122221100332
521303142022412300
6431001134243130
734430656002210
oct5123532512076
91226777076360
10354828325950
1112753338107a
12589273564a6
13275c9cacc27
1413260c065b0
15936ad98c00
hex529d6a943e

354828325950 has 576 divisors, whose sum is σ = 1204971448320. Its totient is φ = 75166237440.

The previous prime is 354828325889. The next prime is 354828325981. The reversal of 354828325950 is 59523828453.

It is a happy number.

354828325950 is a `hidden beast` number, since 3 + 5 + 48 + 2 + 8 + 3 + 2 + 595 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 160337044 + ... + 160339256.

It is an arithmetic number, because the mean of its divisors is an integer number (2091964320).

Almost surely, 2354828325950 is an apocalyptic number.

354828325950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354828325950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602485724160).

354828325950 is an abundant number, since it is smaller than the sum of its proper divisors (850143122370).

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

354828325950 is a wasteful number, since it uses less digits than its factorization.

354828325950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 354828325950 in words is "three hundred fifty-four billion, eight hundred twenty-eight million, three hundred twenty-five thousand, nine hundred fifty".