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146160425268 = 2233111331372223
BaseRepresentation
bin1000100000011111010…
…1110001100100110100
3111222021011121220112000
42020013311301210310
54343314032102033
6151051205055300
713362664054554
oct2100765614464
9458234556460
10146160425268
1156a938278a0
12243b09b7530
1310a23c69c50
14710787b164
153c06997a13
hex2207d71934

146160425268 has 576 divisors, whose sum is σ = 474416087040. Its totient is φ = 38323238400.

The previous prime is 146160425233. The next prime is 146160425273. The reversal of 146160425268 is 862524061641.

It is a happy number.

146160425268 is a `hidden beast` number, since 1 + 4 + 6 + 160 + 425 + 2 + 68 = 666.

It is a super-2 number, since 2×1461604252682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 655427805 + ... + 655428027.

It is an arithmetic number, because the mean of its divisors is an integer number (823639040).

Almost surely, 2146160425268 is an apocalyptic number.

146160425268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146160425268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237208043520).

146160425268 is an abundant number, since it is smaller than the sum of its proper divisors (328255661772).

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

146160425268 is a wasteful number, since it uses less digits than its factorization.

146160425268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 146160425268 in words is "one hundred forty-six billion, one hundred sixty million, four hundred twenty-five thousand, two hundred sixty-eight".