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355455330048 = 283571362791
BaseRepresentation
bin1010010110000101100…
…10011110011100000000
31020222111021220200100000
411023002302132130000
521310433031030143
6431143253200000
734452341311410
oct5130262363400
91228437820300
10355455330048
111278252a3585
1258a81330000
1327699b71c80
14132c01bc640
1593a5e4cbd3
hex52c2c9e700

355455330048 has 432 divisors, whose sum is σ = 1308111074816. Its totient is φ = 93744967680.

The previous prime is 355455330023. The next prime is 355455330079. The reversal of 355455330048 is 840033554553.

355455330048 is a `hidden beast` number, since 3 + 5 + 54 + 553 + 3 + 0 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3554553300482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 355455329985 and 355455330012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5629533 + ... + 5692323.

Almost surely, 2355455330048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355455330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654055537408).

355455330048 is an abundant number, since it is smaller than the sum of its proper divisors (952655744768).

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

355455330048 is an equidigital number, since it uses as much as digits as its factorization.

355455330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62842 (or 62816 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 355455330048 in words is "three hundred fifty-five billion, four hundred fifty-five million, three hundred thirty thousand, forty-eight".