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10028211463557 = 34759299770169
BaseRepresentation
bin1001000111101101111111…
…1110110110010110000101
31022111200120022002002110000
42101323133332312112011
52303300234113313212
633154521410351513
72053341300002220
oct221733776662605
938450508062400
1010028211463557
113216a38a33161
12115b64b88b599
1357986bb15321
14269521c065b7
15125ccba2a1dc
hex91edffb6585

10028211463557 has 40 divisors (see below), whose sum is σ = 17410651473600. Its totient is φ = 5633280997056.

The previous prime is 10028211463549. The next prime is 10028211463561. The reversal of 10028211463557 is 75536411282001.

10028211463557 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 2 + 1 + 1 + 4 + 635 + 5 + 7 = 666.

It is not a de Polignac number, because 10028211463557 - 23 = 10028211463549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028211463057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149851632 + ... + 149918537.

It is an arithmetic number, because the mean of its divisors is an integer number (435266286840).

Almost surely, 210028211463557 is an apocalyptic number.

It is an amenable number.

10028211463557 is a deficient number, since it is larger than the sum of its proper divisors (7382440010043).

10028211463557 is an equidigital number, since it uses as much as digits as its factorization.

10028211463557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299770247 (or 299770238 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10028211463557 in words is "ten trillion, twenty-eight billion, two hundred eleven million, four hundred sixty-three thousand, five hundred fifty-seven".

Divisors: 1 3 7 9 21 27 59 63 81 177 189 413 531 567 1239 1593 3717 4779 11151 33453 299770169 899310507 2098391183 2697931521 6295173549 8093794563 17686439971 18885520647 24281383689 53059319913 56656561941 123805079797 159177959739 169969685823 371415239391 477533879217 1114245718173 1432601637651 3342737154519 10028211463557