Search a number
-
+
355442546420 = 225135325794089
BaseRepresentation
bin1010010110000100000…
…01101101011011110100
31020222110101212012111022
411023002001231123310
521310421242441140
6431142115200312
734452124536353
oct5130201553364
91228411765438
10355442546420
11127819061aa5
1258a78ba6098
13276973173b0
14132bc61199a
1593a4c750b5
hex52c206d6f4

355442546420 has 48 divisors (see below), whose sum is σ = 819013945680. Its totient is φ = 128764087296.

The previous prime is 355442546413. The next prime is 355442546429. The reversal of 355442546420 is 24645244553.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1926683236 + 353515863184 = 43894^2 + 594572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355442546429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12883265 + ... + 12910824.

It is an arithmetic number, because the mean of its divisors is an integer number (17062790535).

Almost surely, 2355442546420 is an apocalyptic number.

It is an amenable number.

355442546420 is an abundant number, since it is smaller than the sum of its proper divisors (463571399260).

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

355442546420 is a wasteful number, since it uses less digits than its factorization.

355442546420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794164 (or 25794162 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 44.

The spelling of 355442546420 in words is "three hundred fifty-five billion, four hundred forty-two million, five hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 25794089 51588178 103176356 128970445 257940890 335323157 515881780 670646314 1341292628 1367086717 1676615785 2734173434 3353231570 5468346868 6706463140 6835433585 13670867170 17772127321 27341734340 35544254642 71088509284 88860636605 177721273210 355442546420