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188132199840 = 253251331417907
BaseRepresentation
bin1010111100110110001…
…1011000110110100000
3122222121020220222020100
42233031203120312200
511040243320343330
6222232101542400
716410043212354
oct2571543306640
9588536828210
10188132199840
11728717a42a2
1230565114a00
1314982693510
149169c77464
154d61619060
hex2bcd8d8da0

188132199840 has 576 divisors, whose sum is σ = 731188104192. Its totient is φ = 43717017600.

The previous prime is 188132199833. The next prime is 188132199859. The reversal of 188132199840 is 48991231881.

It is a happy number.

188132199840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23789167 + ... + 23797073.

It is an arithmetic number, because the mean of its divisors is an integer number (1269423792).

Almost surely, 2188132199840 is an apocalyptic number.

188132199840 is a gapful number since it is divisible by the number (10) 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 188132199840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365594052096).

188132199840 is an abundant number, since it is smaller than the sum of its proper divisors (543055904352).

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

188132199840 is a wasteful number, since it uses less digits than its factorization.

188132199840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 188132199840 in words is "one hundred eighty-eight billion, one hundred thirty-two million, one hundred ninety-nine thousand, eight hundred forty".