Search a number
-
+
6416720870148 = 223379752076989
BaseRepresentation
bin101110101100000001001…
…0111100011101100000100
3211201102200022101010122000
41131120002113203230010
51320112421020321043
621351444553305300
71231410216315561
oct135300227435404
924642608333560
106416720870148
112054352713aa6
1287772aa05230
1337712bbbcc34
141827dc971868
15b1da87bd2d3
hex5d6025e3b04

6416720870148 has 48 divisors (see below), whose sum is σ = 16846524576000. Its totient is φ = 2111832182304.

The previous prime is 6416720870123. The next prime is 6416720870149. The reversal of 6416720870148 is 8410780276146.

6416720870148 is a `hidden beast` number, since 6 + 416 + 7 + 2 + 0 + 87 + 0 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6416720870094 and 6416720870103.

It is not an unprimeable number, because it can be changed into a prime (6416720870149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376029963 + ... + 376047026.

It is an arithmetic number, because the mean of its divisors is an integer number (350969262000).

Almost surely, 26416720870148 is an apocalyptic number.

It is an amenable number.

6416720870148 is an abundant number, since it is smaller than the sum of its proper divisors (10429803705852).

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

6416720870148 is a wasteful number, since it uses less digits than its factorization.

6416720870148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752077081 (or 752077073 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 6416720870148 in words is "six trillion, four hundred sixteen billion, seven hundred twenty million, eight hundred seventy thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1422 2133 2844 4266 8532 752076989 1504153978 2256230967 3008307956 4512461934 6768692901 9024923868 13537385802 20306078703 27074771604 40612157406 59414082131 81224314812 118828164262 178242246393 237656328524 356484492786 534726739179 712968985572 1069453478358 1604180217537 2138906956716 3208360435074 6416720870148