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146027665168 = 24721127392083
BaseRepresentation
bin1000011111111111101…
…1010101011100010000
3111221220220210222220021
42013333323111130100
54343031040241133
6151030103353224
713356462450100
oct2077773253420
9457826728807
10146027665168
1156a258a0200
1224374452814
1310a025c6088
1470d3d9d200
153be9ec152d
hex21ffed5710

146027665168 has 180 divisors, whose sum is σ = 362424563760. Its totient is φ = 56789631360.

The previous prime is 146027665163. The next prime is 146027665177. The reversal of 146027665168 is 861566720641.

It is not an unprimeable number, because it can be changed into a prime (146027665163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70103455 + ... + 70105537.

Almost surely, 2146027665168 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 146027665168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181212281880).

146027665168 is an abundant number, since it is smaller than the sum of its proper divisors (216396898592).

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

146027665168 is a wasteful number, since it uses less digits than its factorization.

146027665168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 146027665168 in words is "one hundred forty-six billion, twenty-seven million, six hundred sixty-five thousand, one hundred sixty-eight".