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11552000022 = 2323126976961
BaseRepresentation
bin10101100001000110…
…11000100000010110
31002211002010101220200
422300203120200112
5142124303000042
65150143241330
7556161244233
oct126043304026
932732111820
1011552000022
114998891662
1222a48a9246
1311213b8294
147b832078a
15479279c4c
hex2b08d8816

11552000022 has 48 divisors (see below), whose sum is σ = 25933115520. Its totient is φ = 3712550400.

The previous prime is 11551999997. The next prime is 11552000023. The reversal of 11552000022 is 22000025511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11551999959 and 11552000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11552000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111622 + ... + 188582.

It is an arithmetic number, because the mean of its divisors is an integer number (540273240).

Almost surely, 211552000022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11552000022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966557760).

11552000022 is an abundant number, since it is smaller than the sum of its proper divisors (14381115498).

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

11552000022 is a wasteful number, since it uses less digits than its factorization.

11552000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77269 (or 77266 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 11552000022 its reverse (22000025511), we get a palindrome (33552025533).

The spelling of 11552000022 in words is "eleven billion, five hundred fifty-two million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 31 62 93 186 269 279 538 558 807 1614 2421 4842 8339 16678 25017 50034 75051 76961 150102 153922 230883 461766 692649 1385298 2385791 4771582 7157373 14314746 20702509 21472119 41405018 42944238 62107527 124215054 186322581 372645162 641777779 1283555558 1925333337 3850666674 5776000011 11552000022