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188809201152 = 2934111323179
BaseRepresentation
bin1010111111010111100…
…1111100011000000000
3200001100102211012110000
42233311321330120000
511043140123414102
6222423204240000
716432603505205
oct2576571743000
9601312735400
10188809201152
1173089965410
12307139a0000
1314a5ca0c600
1491d1b45cac
154da0c9701c
hex2bf5e7c600

188809201152 has 1200 divisors, whose sum is σ = 695878318080. Its totient is φ = 50463129600.

The previous prime is 188809201093. The next prime is 188809201157. The reversal of 188809201152 is 251102908881.

It is a junction number, because it is equal to n+sod(n) for n = 188809201098 and 188809201107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188809201157) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2389989849 + ... + 2389989927.

Almost surely, 2188809201152 is an apocalyptic number.

188809201152 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 188809201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347939159040).

188809201152 is an abundant number, since it is smaller than the sum of its proper divisors (507069116928).

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

188809201152 is a wasteful number, since it uses less digits than its factorization.

188809201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 188809201152 in words is "one hundred eighty-eight billion, eight hundred nine million, two hundred one thousand, one hundred fifty-two".