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36464166401 = 1314918825073
BaseRepresentation
bin100001111101011011…
…110000011000000001
310111010020202120122112
4201331123300120001
51044134311311101
624430145345105
72430421205015
oct417533603001
9114106676575
1036464166401
1114512086a13
127097938195
13359167a930
141a9cb62545
15e3639c6bb
hex87d6f0601

36464166401 has 8 divisors (see below), whose sum is σ = 39532655400. Its totient is φ = 33433327872.

The previous prime is 36464166379. The next prime is 36464166449. The reversal of 36464166401 is 10466146463.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1530687376 + 34933479025 = 39124^2 + 186905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36464166401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36464166461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9410600 + ... + 9414473.

It is an arithmetic number, because the mean of its divisors is an integer number (4941581925).

Almost surely, 236464166401 is an apocalyptic number.

It is an amenable number.

36464166401 is a deficient number, since it is larger than the sum of its proper divisors (3068488999).

36464166401 is a wasteful number, since it uses less digits than its factorization.

36464166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18825235.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 36464166401 in words is "thirty-six billion, four hundred sixty-four million, one hundred sixty-six thousand, four hundred one".

Divisors: 1 13 149 1937 18825073 244725949 2804935877 36464166401