Search a number
-
+
68109148296552 = 23311419109173541
BaseRepresentation
bin11110111110001111001011…
…00101110001010101101000
322221011011121122112212201110
433133013211211301111220
532411400013430442202
6400504524421150320
720226503121240666
oct1737074545612550
9287134548485643
1068109148296552
111a779a22680000
127780013b5b3a0
132c00885385abc
1412b6701011c36
157d1a1de7426c
hex3df1e5971568

68109148296552 has 640 divisors, whose sum is σ = 200485604880000. Its totient is φ = 19225892505600.

The previous prime is 68109148296551. The next prime is 68109148296611. The reversal of 68109148296552 is 25569284190186.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (68109148296551) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 125894913402 + ... + 125894913942.

It is an arithmetic number, because the mean of its divisors is an integer number (313258757625).

Almost surely, 268109148296552 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 68109148296552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100242802440000).

68109148296552 is an abundant number, since it is smaller than the sum of its proper divisors (132376456583448).

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

68109148296552 is a wasteful number, since it uses less digits than its factorization.

68109148296552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 68109148296552 in words is "sixty-eight trillion, one hundred nine billion, one hundred forty-eight million, two hundred ninety-six thousand, five hundred fifty-two".