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5602112000 = 29531719271
BaseRepresentation
bin1010011011110100…
…10111001000000000
3112110102100202221122
411031322113020000
542433120041000
62323520411412
7255553111022
oct51572271000
915412322848
105602112000
112415278731
121104176b68
136b3816894
143b2038012
1522bc40085
hex14de97200

5602112000 has 320 divisors, whose sum is σ = 15626856960. Its totient is φ = 1990656000.

The previous prime is 5602111979. The next prime is 5602112003. The reversal of 5602112000 is 2112065.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 5602112000.

It is not an unprimeable number, because it can be changed into a prime (5602112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20671865 + ... + 20672135.

It is an arithmetic number, because the mean of its divisors is an integer number (48833928).

Almost surely, 25602112000 is an apocalyptic number.

5602112000 is a gapful number since it is divisible by the number (50) 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 5602112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7813428480).

5602112000 is an abundant number, since it is smaller than the sum of its proper divisors (10024744960).

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

5602112000 is a wasteful number, since it uses less digits than its factorization.

5602112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 5602112000 is about 74847.2577987998. The cubic root of 5602112000 is about 1776.0312198608.

Adding to 5602112000 its reverse (2112065), we get a palindrome (5604224065).

The spelling of 5602112000 in words is "five billion, six hundred two million, one hundred twelve thousand".