Search a number
-
+
13174719456 = 253137236661
BaseRepresentation
bin11000100010100011…
…00100001111100000
31021000011120002111110
430101101210033200
5203440212010311
610015151543320
7644324160543
oct142121441740
937004502443
1013174719456
1156508707a8
12267822ab40
13131c6471b2
148cda4a85a
155219658a6
hex3114643e0

13174719456 has 24 divisors (see below), whose sum is σ = 34583638824. Its totient is φ = 4391573120.

The previous prime is 13174719443. The next prime is 13174719473. The reversal of 13174719456 is 65491747131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 68618235 + ... + 68618426.

It is an arithmetic number, because the mean of its divisors is an integer number (1440984951).

Almost surely, 213174719456 is an apocalyptic number.

13174719456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13174719456 is an abundant number, since it is smaller than the sum of its proper divisors (21408919368).

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

13174719456 is a wasteful number, since it uses less digits than its factorization.

13174719456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137236674 (or 137236666 counting only the distinct ones).

The product of its digits is 635040, while the sum is 48.

The spelling of 13174719456 in words is "thirteen billion, one hundred seventy-four million, seven hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137236661 274473322 411709983 548946644 823419966 1097893288 1646839932 2195786576 3293679864 4391573152 6587359728 13174719456