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11371572000 = 2532531721093
BaseRepresentation
bin10101001011100110…
…00110101100100000
31002100111121201012100
422211303012230200
5141242110301000
65120220130400
7551540524065
oct124563065440
932314551170
1011371572000
114905a57398
122254396a00
1310c2bc4639
1479c394c6c
154684d9a00
hex2a5cc6b20

11371572000 has 432 divisors, whose sum is σ = 42910561512. Its totient is φ = 2851430400.

The previous prime is 11371571989. The next prime is 11371572001. The reversal of 11371572000 is 27517311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1846592784 + 9524979216 = 42972^2 + 97596^2 .

It is not an unprimeable number, because it can be changed into a prime (11371572001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10403454 + ... + 10404546.

Almost surely, 211371572000 is an apocalyptic number.

11371572000 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 11371572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455280756).

11371572000 is an abundant number, since it is smaller than the sum of its proper divisors (31538989512).

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

11371572000 is a wasteful number, since it uses less digits than its factorization.

11371572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The spelling of 11371572000 in words is "eleven billion, three hundred seventy-one million, five hundred seventy-two thousand".