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188385690000 = 2435461113911
BaseRepresentation
bin1010111101110010101…
…0011000000110010000
3200000020220220121100210
42233130222120012100
511041303214040000
6222313155044120
716416241641624
oct2573452300620
9600226817323
10188385690000
11729918a11a2
1230615ba0640
13149c30586b1
1491917c1184
154d789dc350
hex2bdca98190

188385690000 has 400 divisors, whose sum is σ = 624257973504. Its totient is φ = 48921600000.

The previous prime is 188385689953. The next prime is 188385690013. The reversal of 188385690000 is 96583881.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1883856900002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 79 ways as a sum of consecutive naturals, for example, 206789545 + ... + 206790455.

Almost surely, 2188385690000 is an apocalyptic number.

188385690000 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 188385690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312128986752).

188385690000 is an abundant number, since it is smaller than the sum of its proper divisors (435872283504).

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

188385690000 is a wasteful number, since it uses less digits than its factorization.

188385690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 188385690000 in words is "one hundred eighty-eight billion, three hundred eighty-five million, six hundred ninety thousand".