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5032496178144 = 253217473945063
BaseRepresentation
bin100100100111011100000…
…1001011010001111100000
3122211002202022102000110200
41021032320021122033200
51124423023010200034
614411521414225200
71026404642501241
oct111167011321740
918732668360420
105032496178144
1116702a6994136
126933b8955200
132a674064b046
14135807528cc8
158ad9056da99
hex493b825a3e0

5032496178144 has 36 divisors (see below), whose sum is σ = 14311161007416. Its totient is φ = 1677498725952.

The previous prime is 5032496178097. The next prime is 5032496178169. The reversal of 5032496178144 is 4418716942305.

5032496178144 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 4 + 9 + 617 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8736972244 + ... + 8736972819.

It is an arithmetic number, because the mean of its divisors is an integer number (397532250206).

It is a 1-persistent number, because it is pandigital, but 2⋅5032496178144 = 10064992356288 is not.

Almost surely, 25032496178144 is an apocalyptic number.

It is an amenable number.

5032496178144 is an abundant number, since it is smaller than the sum of its proper divisors (9278664829272).

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

5032496178144 is a wasteful number, since it uses less digits than its factorization.

5032496178144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17473945079 (or 17473945068 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5032496178144 in words is "five trillion, thirty-two billion, four hundred ninety-six million, one hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17473945063 34947890126 52421835189 69895780252 104843670378 139791560504 157265505567 209687340756 279583121008 314531011134 419374681512 559166242016 629062022268 838749363024 1258124044536 1677498726048 2516248089072 5032496178144