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73052376241 = 13106116973121
BaseRepresentation
bin100010000001001000…
…0101100110010110001
320222120010221012220111
41010002100230302301
52144102402014431
653320525541321
75164206644515
oct1040220546261
9228503835814
1073052376241
1128a88186569
12121a9114841
136b72939a40
143770174145
151d7859d7b1
hex110242ccb1

73052376241 has 16 divisors (see below), whose sum is σ = 78817587408. Its totient is φ = 67308134400.

The previous prime is 73052376227. The next prime is 73052376269. The reversal of 73052376241 is 14267325037.

It can be written as a sum of positive squares in 8 ways, for example, as 2861822016 + 70190554225 = 53496^2 + 264935^2 .

It is not a de Polignac number, because 73052376241 - 227 = 72918158513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73052376194 and 73052376203.

It is not an unprimeable number, because it can be changed into a prime (73052376211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23405161 + ... + 23408281.

It is an arithmetic number, because the mean of its divisors is an integer number (4926099213).

Almost surely, 273052376241 is an apocalyptic number.

It is an amenable number.

73052376241 is a deficient number, since it is larger than the sum of its proper divisors (5765211167).

73052376241 is a wasteful number, since it uses less digits than its factorization.

73052376241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892.

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 73052376241 in words is "seventy-three billion, fifty-two million, three hundred seventy-six thousand, two hundred forty-one".

Divisors: 1 13 1061 1697 3121 13793 22061 40573 1800517 3311381 5296337 23406721 43047953 68852381 5619413557 73052376241