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9420672601 = 3710912971801
BaseRepresentation
bin10001100011000010…
…00000111001011001
3220022112122202100001
420301201000321121
5123243143010401
64154445413001
7452311252534
oct106141007131
926275582301
109420672601
113aa47a683a
1219aab6a161
13b7197c1b2
1465523ba1b
153a20c5601
hex231840e59

9420672601 has 16 divisors (see below), whose sum is σ = 9777003280. Its totient is φ = 9069926400.

The previous prime is 9420672577. The next prime is 9420672617. The reversal of 9420672601 is 1062760249.

It can be written as a sum of positive squares in 8 ways, for example, as 2050278400 + 7370394201 = 45280^2 + 85851^2 .

It is a 4-Lehmer number, since φ(9420672601) divides (9420672601-1)4.

It is a cyclic number.

It is not a de Polignac number, because 9420672601 - 227 = 9286454873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9420672631) 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, 5229901 + ... + 5231701.

It is an arithmetic number, because the mean of its divisors is an integer number (611062705).

It is a Poulet number, since it divides 29420672600-1.

Almost surely, 29420672601 is an apocalyptic number.

It is an amenable number.

9420672601 is a deficient number, since it is larger than the sum of its proper divisors (356330679).

9420672601 is a wasteful number, since it uses less digits than its factorization.

9420672601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 9420672601 is about 97060.1493971651. The cubic root of 9420672601 is about 2112.0002744807. Note that the first 3 decimals are identical.

The spelling of 9420672601 in words is "nine billion, four hundred twenty million, six hundred seventy-two thousand, six hundred one".

Divisors: 1 37 109 1297 1801 4033 47989 66637 141373 196309 2335897 5230801 7263433 86428189 254612773 9420672601