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6144468931692 = 22347131923945893
BaseRepresentation
bin101100101101001111011…
…1000110101010001101100
3210202101221121022200110000
41121122132320311101230
51301132333021303232
621022421405344300
71202631445112640
oct131323670652154
923671847280400
106144468931692
111a59944587073
12832a0a268090
13357561a3b270
14173572b5ac20
15a9c721ac27c
hex5969ee3546c

6144468931692 has 480 divisors, whose sum is σ = 20897704396800. Its totient is φ = 1528771926528.

The previous prime is 6144468931687. The next prime is 6144468931721. The reversal of 6144468931692 is 2961398644416.

It is a happy number.

6144468931692 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 468 + 9 + 3 + 169 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 133863898 + ... + 133909790.

It is an arithmetic number, because the mean of its divisors is an integer number (43536884160).

Almost surely, 26144468931692 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 6144468931692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448852198400).

6144468931692 is an abundant number, since it is smaller than the sum of its proper divisors (14753235465108).

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

6144468931692 is a wasteful number, since it uses less digits than its factorization.

6144468931692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46187 (or 46176 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 6144468931692 in words is "six trillion, one hundred forty-four billion, four hundred sixty-eight million, nine hundred thirty-one thousand, six hundred ninety-two".