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148011189192 = 2335241431733
BaseRepresentation
bin1000100111011000100…
…1111000001111001000
3112011001011011110100000
42021312021320033020
54411111331023232
6151555001243000
713456566231006
oct2116611701710
9464034143300
10148011189192
1157853504159
1224828793460
1310c5a522029
1472415a9a76
153cb41cc27c
hex22762783c8

148011189192 has 192 divisors, whose sum is σ = 418974716160. Its totient is φ = 48951475200.

The previous prime is 148011189187. The next prime is 148011189199. The reversal of 148011189192 is 291981110841.

148011189192 is a `hidden beast` number, since 1 + 480 + 1 + 1 + 1 + 89 + 1 + 92 = 666.

It is a super-2 number, since 2×1480111891922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (148011189199) 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 47 ways as a sum of consecutive naturals, for example, 201924858 + ... + 201925590.

It is an arithmetic number, because the mean of its divisors is an integer number (2182159980).

Almost surely, 2148011189192 is an apocalyptic number.

148011189192 is a gapful number since it is divisible by the number (12) 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 148011189192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209487358080).

148011189192 is an abundant number, since it is smaller than the sum of its proper divisors (270963526968).

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

148011189192 is a wasteful number, since it uses less digits than its factorization.

148011189192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

The spelling of 148011189192 in words is "one hundred forty-eight billion, eleven million, one hundred eighty-nine thousand, one hundred ninety-two".