Search a number
-
+
355479103350 = 232527316195881
BaseRepresentation
bin1010010110001000011…
…01001010011101110110
31020222112221122111011200
411023010031022131312
521311010122301400
6431145502513330
734453050344340
oct5130415123566
91228487574150
10355479103350
11127837760838
1258a89295846
13276a1a76a07
14132c340a290
1593a8096b00
hex52c434a776

355479103350 has 288 divisors, whose sum is σ = 1128711567360. Its totient is φ = 78490944000.

The previous prime is 355479103303. The next prime is 355479103373. The reversal of 355479103350 is 53301974553.

355479103350 is a `hidden beast` number, since 3 + 554 + 7 + 9 + 10 + 33 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 355479103296 and 355479103305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60442410 + ... + 60448290.

Almost surely, 2355479103350 is an apocalyptic number.

355479103350 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 355479103350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564355783680).

355479103350 is an abundant number, since it is smaller than the sum of its proper divisors (773232464010).

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

355479103350 is a wasteful number, since it uses less digits than its factorization.

355479103350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 355479103350 in words is "three hundred fifty-five billion, four hundred seventy-nine million, one hundred three thousand, three hundred fifty".