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146406147357 = 319311071495197
BaseRepresentation
bin1000100001011001111…
…1001000010100011101
3111222220021222212212010
42020112133020110131
54344314433203412
6151131423501433
713402036501521
oct2102637102435
9458807885763
10146406147357
11570aa4a94a8
122445b157879
1310a62b42432
14712c361d81
153c1d33433c
hex22167c851d

146406147357 has 64 divisors (see below), whose sum is σ = 215571456000. Its totient is φ = 88036035840.

The previous prime is 146406147353. The next prime is 146406147359. The reversal of 146406147357 is 753741604641.

It is not a de Polignac number, because 146406147357 - 22 = 146406147353 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146406147353) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28168683 + ... + 28173879.

It is an arithmetic number, because the mean of its divisors is an integer number (3368304000).

Almost surely, 2146406147357 is an apocalyptic number.

It is an amenable number.

146406147357 is a deficient number, since it is larger than the sum of its proper divisors (69165308643).

146406147357 is a wasteful number, since it uses less digits than its factorization.

146406147357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506.

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 146406147357 in words is "one hundred forty-six billion, four hundred six million, one hundred forty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 19 31 57 93 107 149 321 447 589 1767 2033 2831 3317 4619 5197 6099 8493 9951 13857 15591 15943 47829 63023 87761 98743 161107 189069 263283 296229 302917 483321 494233 556079 774353 908751 1482699 1668237 2323059 3061033 9183099 9390427 10565501 14712707 17238449 24004943 28171281 31696503 44138121 51715347 72014829 82855771 248567313 327530531 456093917 982591593 1368281751 1574259649 2568528901 4722778947 7705586703 48802049119 146406147357