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354135928008 = 23343734700753
BaseRepresentation
bin1010010011101000010…
…01010110110011001000
31020212002100020002222210
411021310021112303020
521300232244144013
6430404321545120
734404550502262
oct5116411266310
91225070202883
10354135928008
11127208554275
12587734a51a0
1327519702ac5
14131d6c8ab32
15932a1c8cc3
hex5274256cc8

354135928008 has 64 divisors (see below), whose sum is σ = 918339301440. Its totient is φ = 113720592384.

The previous prime is 354135927961. The next prime is 354135928067. The reversal of 354135928008 is 800829531453.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2275041 + ... + 2425712.

It is an arithmetic number, because the mean of its divisors is an integer number (14349051585).

Almost surely, 2354135928008 is an apocalyptic number.

It is an amenable number.

354135928008 is an abundant number, since it is smaller than the sum of its proper divisors (564203373432).

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

354135928008 is a wasteful number, since it uses less digits than its factorization.

354135928008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700878 (or 4700874 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 354135928008 in words is "three hundred fifty-four billion, one hundred thirty-five million, nine hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 43 73 86 129 146 172 219 258 292 344 438 516 584 876 1032 1752 3139 6278 9417 12556 18834 25112 37668 75336 4700753 9401506 14102259 18803012 28204518 37606024 56409036 112818072 202132379 343154969 404264758 606397137 686309938 808529516 1029464907 1212794274 1372619876 1617059032 2058929814 2425588548 2745239752 4117859628 4851177096 8235719256 14755663667 29511327334 44266991001 59022654668 88533982002 118045309336 177067964004 354135928008