Search a number
-
+
56861686854432 = 2533732293936839
BaseRepresentation
bin11001110110111001001001…
…01001010111001100100000
321110022220221201112110001000
430323130210221113030200
524423110213313320212
6320533522012112000
714656056415354065
oct1473344451271440
9243286851473030
1056861686854432
11171329a6936a69
126464213a65600
132596059ab2625
141008198274c6c
156891827961dc
hex33b724a57320

56861686854432 has 192 divisors, whose sum is σ = 168852642336000. Its totient is φ = 18612614191104.

The previous prime is 56861686854419. The next prime is 56861686854433. The reversal of 56861686854432 is 23445868616865.

56861686854432 is a `hidden beast` number, since 5 + 6 + 8 + 6 + 16 + 8 + 68 + 544 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (56861686854433) 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, 12475069 + ... + 16411907.

It is an arithmetic number, because the mean of its divisors is an integer number (879440845500).

Almost surely, 256861686854432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56861686854432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84426321168000).

56861686854432 is an abundant number, since it is smaller than the sum of its proper divisors (111990955481568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56861686854432 is a wasteful number, since it uses less digits than its factorization.

56861686854432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937160 (or 3937146 counting only the distinct ones).

The product of its digits is 1592524800, while the sum is 72.

The spelling of 56861686854432 in words is "fifty-six trillion, eight hundred sixty-one billion, six hundred eighty-six million, eight hundred fifty-four thousand, four hundred thirty-two".