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3642797007 = 325312760133
BaseRepresentation
bin1101100100100000…
…1010101111001111
3100101212120021001200
43121020022233033
524430024001012
61401245440543
7156162156303
oct33110125717
910355507050
103642797007
1115aa29a343
12857b70153
13460915ab5
14267b2dd03
15164c173dc
hexd920abcf

3642797007 has 24 divisors (see below), whose sum is σ = 5403400704. Its totient is φ = 2363909184.

The previous prime is 3642796979. The next prime is 3642797033. The reversal of 3642797007 is 7007972463.

It is a happy number.

It is not a de Polignac number, because 3642797007 - 212 = 3642792911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642797107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30513 + ... + 90645.

It is an arithmetic number, because the mean of its divisors is an integer number (225141696).

Almost surely, 23642797007 is an apocalyptic number.

3642797007 is a deficient number, since it is larger than the sum of its proper divisors (1760603697).

3642797007 is a wasteful number, since it uses less digits than its factorization.

3642797007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60319 (or 60316 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3642797007 is about 60355.5880345805. The cubic root of 3642797007 is about 1538.6682430199.

The spelling of 3642797007 in words is "three billion, six hundred forty-two million, seven hundred ninety-seven thousand, seven".

Divisors: 1 3 9 53 127 159 381 477 1143 6731 20193 60133 60579 180399 541197 3187049 7636891 9561147 22910673 28683441 68732019 404755223 1214265669 3642797007