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354221407602 = 232172931137973
BaseRepresentation
bin1010010011110010011…
…11011011110101110010
31020212022022001220221200
411021321033123311302
521300421140020402
6430421014032030
734406636200026
oct5117117336562
91225268056850
10354221407602
11127251828367
1258798048616
132753133134a
141320437c386
15933296121c
hex52793dbd72

354221407602 has 24 divisors (see below), whose sum is σ = 767524771884. Its totient is φ = 118066870944.

The previous prime is 354221407597. The next prime is 354221407619. The reversal of 354221407602 is 206704122453.

354221407602 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 2 + 1 + 40 + 7 + 602 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 339643018521 + 14578389081 = 582789^2 + 120741^2 .

It is a super-3 number, since 3×3542214076023 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257713 + ... + 880260.

Almost surely, 2354221407602 is an apocalyptic number.

354221407602 is an abundant number, since it is smaller than the sum of its proper divisors (413303364282).

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

354221407602 is a wasteful number, since it uses less digits than its factorization.

354221407602 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155274 (or 1155271 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 354221407602 in words is "three hundred fifty-four billion, two hundred twenty-one million, four hundred seven thousand, six hundred two".

Divisors: 1 2 3 6 9 18 17293 34586 51879 103758 155637 311274 1137973 2275946 3413919 6827838 10241757 20483514 19678967089 39357934178 59036901267 118073802534 177110703801 354221407602