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215103264672 = 253174373199211
BaseRepresentation
bin1100100001010100100…
…1110101011110100000
3202120012220202000200110
43020111021311132200
512011012413432142
6242452253251320
721353313403422
oct3102511653640
9676186660613
10215103264672
118325220451a
1235831793b40
131739038298a
14a5a7d06812
1558de38599c
hex32152757a0

215103264672 has 384 divisors, whose sum is σ = 626214758400. Its totient is φ = 64377815040.

The previous prime is 215103264661. The next prime is 215103264679. The reversal of 215103264672 is 276462301512.

It is a self number, because there is not a number n which added to its sum of digits gives 215103264672.

It is not an unprimeable number, because it can be changed into a prime (215103264679) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1019446647 + ... + 1019446857.

It is an arithmetic number, because the mean of its divisors is an integer number (1630767600).

Almost surely, 2215103264672 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 215103264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313107379200).

215103264672 is an abundant number, since it is smaller than the sum of its proper divisors (411111493728).

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

215103264672 is a wasteful number, since it uses less digits than its factorization.

215103264672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 215103264672 in words is "two hundred fifteen billion, one hundred three million, two hundred sixty-four thousand, six hundred seventy-two".