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42772250633637 = 3761173197979717
BaseRepresentation
bin10011011100110101100001…
…10011100010010110100101
312121102222122200120201211110
421232122300303202112211
521101240032130234022
6230545144540255233
712003123146451060
oct1156326063422645
9177388580521743
1042772250633637
11126a0678459a18
124969670241519
131ab3537a92695
14a7c28bb438d7
154e290ec8200c
hex26e6b0ce25a5

42772250633637 has 64 divisors (see below), whose sum is σ = 66966437159424. Its totient is φ = 23780293770240.

The previous prime is 42772250633617. The next prime is 42772250633659. The reversal of 42772250633637 is 73633605227724.

42772250633637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42772250633637 - 28 = 42772250633381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42772250633617) 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, 43167903 + ... + 44147619.

It is an arithmetic number, because the mean of its divisors is an integer number (1046350580616).

Almost surely, 242772250633637 is an apocalyptic number.

It is an amenable number.

42772250633637 is a deficient number, since it is larger than the sum of its proper divisors (24194186525787).

42772250633637 is a wasteful number, since it uses less digits than its factorization.

42772250633637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980158.

The product of its (nonzero) digits is 53343360, while the sum is 57.

The spelling of 42772250633637 in words is "forty-two trillion, seven hundred seventy-two billion, two hundred fifty million, six hundred thirty-three thousand, six hundred thirty-seven".

Divisors: 1 3 7 21 61 173 183 197 427 519 591 1211 1281 1379 3633 4137 10553 12017 31659 34081 36051 73871 84119 102243 221613 238567 252357 715701 979717 2078941 2939151 6236823 6858019 14552587 20574057 43657761 59762737 169491041 179288211 193004249 418339159 508473123 579012747 1186437287 1255017477 1351029743 3559311861 4053089229 10338953501 11773259189 31016860503 33389735077 35319777567 72372674507 82412814323 100169205231 217118023521 233728145539 247238442969 701184436617 2036773839697 6110321519091 14257416877879 42772250633637