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27020101139928 = 233313191633107053
BaseRepresentation
bin1100010010011000110111…
…00001111011110111011000
310112200002121022021012012000
412021030123201323313120
512020144131342434203
6133244510232521000
75456065203116451
oct611143341736730
9115602538235160
1027020101139928
118678184754316
123044815250160
13120cca52395b0
14695acbd86128
1531ccc512d4a3
hex18931b87bdd8

27020101139928 has 256 divisors, whose sum is σ = 85605551808000. Its totient is φ = 7827981378048.

The previous prime is 27020101139879. The next prime is 27020101139951. The reversal of 27020101139928 is 82993110102072.

27020101139928 is a `hidden beast` number, since 27 + 0 + 201 + 0 + 11 + 399 + 28 = 666.

It is a super-2 number, since 2×270201011399282 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7142850 + ... + 10249902.

It is an arithmetic number, because the mean of its divisors is an integer number (334396686750).

Almost surely, 227020101139928 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 27020101139928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42802775904000).

27020101139928 is an abundant number, since it is smaller than the sum of its proper divisors (58585450668072).

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

27020101139928 is a wasteful number, since it uses less digits than its factorization.

27020101139928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107263 (or 3107253 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 27020101139928 in words is "twenty-seven trillion, twenty billion, one hundred one million, one hundred thirty-nine thousand, nine hundred twenty-eight".