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5312354471424 = 2934721113101181
BaseRepresentation
bin100110101001110000100…
…0000000100111000000000
3200210212010010011022220000
41031103201000010320000
51144014200221041144
615144243440520000
71055543044650600
oct115234100047000
920725103138800
105312354471424
111768a58674020
127196a0920000
132c6c50617ba0
14145195618c00
15932be81e769
hex4d4e1004e00

5312354471424 has 2400 divisors, whose sum is σ = 22004763292512. Its totient is φ = 1254113280000.

The previous prime is 5312354471393. The next prime is 5312354471429. The reversal of 5312354471424 is 4241744532135.

5312354471424 is a `hidden beast` number, since 5 + 3 + 12 + 3 + 544 + 71 + 4 + 24 = 666.

It is a super-2 number, since 2×53123544714242 (a number of 26 digits) contains 22 as substring.

Its product of digits (1612800) is a multiple of the sum of its prime factors (350).

It is a self number, because there is not a number n which added to its sum of digits gives 5312354471424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312354471429) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 29350024614 + ... + 29350024794.

Almost surely, 25312354471424 is an apocalyptic number.

5312354471424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5312354471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002381646256).

5312354471424 is an abundant number, since it is smaller than the sum of its proper divisors (16692408821088).

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

5312354471424 is a wasteful number, since it uses less digits than its factorization.

5312354471424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 318 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 5312354471424 in words is "five trillion, three hundred twelve billion, three hundred fifty-four million, four hundred seventy-one thousand, four hundred twenty-four".