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5674168416 = 25378443703
BaseRepresentation
bin1010100100011010…
…01111000001100000
3112122102221121202210
411102031033001200
543110041342131
62335013042120
7260416431030
oct52215170140
915572847683
105674168416
112451a13794
121124326340
136c5725407
143bb8338c0
15233225146
hex15234f060

5674168416 has 48 divisors (see below), whose sum is σ = 17022507264. Its totient is φ = 1621190784.

The previous prime is 5674168349. The next prime is 5674168441. The reversal of 5674168416 is 6148614765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4221180 + ... + 4222523.

It is an arithmetic number, because the mean of its divisors is an integer number (354635568).

Almost surely, 25674168416 is an apocalyptic number.

5674168416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5674168416 is an abundant number, since it is smaller than the sum of its proper divisors (11348338848).

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

5674168416 is a wasteful number, since it uses less digits than its factorization.

5674168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443723 (or 8443715 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 5674168416 is about 75327.0762475220. The cubic root of 5674168416 is about 1783.6134583182.

The spelling of 5674168416 in words is "five billion, six hundred seventy-four million, one hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8443703 16887406 25331109 33774812 50662218 59105921 67549624 101324436 118211842 135099248 177317763 202648872 236423684 270198496 354635526 405297744 472847368 709271052 810595488 945694736 1418542104 1891389472 2837084208 5674168416