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642721435041 = 37307304132783
BaseRepresentation
bin10010101101001010010…
…11101100110110100001
32021102222100202211001010
421112211023230312201
541012243141410131
61211132342531133
764302144025530
oct11264513546641
92242870684033
10642721435041
11228638549004
12a4692136aa9
13487ba78cb5a
1423172064317
1511aba720b46
hex95a52ecda1

642721435041 has 32 divisors (see below), whose sum is σ = 982928314368. Its totient is φ = 365941532160.

The previous prime is 642721435021. The next prime is 642721435049. The reversal of 642721435041 is 140534127246.

642721435041 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 642721435041 - 211 = 642721432993 is a prime.

It is a super-2 number, since 2×6427214350412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642721435049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19588936 + ... + 19621718.

It is an arithmetic number, because the mean of its divisors is an integer number (30716509824).

Almost surely, 2642721435041 is an apocalyptic number.

It is an amenable number.

642721435041 is a deficient number, since it is larger than the sum of its proper divisors (340206879327).

642721435041 is a wasteful number, since it uses less digits than its factorization.

642721435041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36141.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 642721435041 in words is "six hundred forty-two billion, seven hundred twenty-one million, four hundred thirty-five thousand, forty-one".

Divisors: 1 3 7 21 307 921 2149 3041 6447 9123 21287 32783 63861 98349 229481 688443 933587 2800761 6535109 10064381 19605327 30193143 70450667 99693103 211352001 299079309 697851721 2093555163 30605782621 91817347863 214240478347 642721435041