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210028150741632 = 273197113122313879
BaseRepresentation
bin101111110000010011111101…
…010100010101101010000000
31000112122111100221110011012020
4233300103331110111222000
5210012100123042213012
62022405333410401440
762145014240225136
oct5760237524255200
91015574327404166
10210028150741632
1160a154907421a3
121b680a42890280
139026753633772
1439c15b9741756
1519434aa5c2a8c
hexbf04fd515a80

210028150741632 has 512 divisors, whose sum is σ = 602801160192000. Its totient is φ = 64595717222400.

The previous prime is 210028150741627. The next prime is 210028150741639. The reversal of 210028150741632 is 236147051820012.

It is a super-2 number, since 2×2100281507416322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (210028150741639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15132794469 + ... + 15132808347.

It is an arithmetic number, because the mean of its divisors is an integer number (1177346016000).

Almost surely, 2210028150741632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210028150741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301400580096000).

210028150741632 is an abundant number, since it is smaller than the sum of its proper divisors (392773009450368).

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

210028150741632 is a wasteful number, since it uses less digits than its factorization.

210028150741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14340 (or 14328 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 210028150741632 in words is "two hundred ten trillion, twenty-eight billion, one hundred fifty million, seven hundred forty-one thousand, six hundred thirty-two".