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5148528429024 = 253317350526173
BaseRepresentation
bin100101011101011110000…
…1101010100011111100000
3200020012020210120002102000
41022322330031110133200
51133323141234212044
614541111252124000
71040653222402041
oct112727415243740
920205223502360
105148528429024
11170552a092652
126b199b906600
132b46727c6366
1413b2939148c8
158ddd201ed69
hex4aebc3547e0

5148528429024 has 96 divisors (see below), whose sum is σ = 15899867252640. Its totient is φ = 1615224600576.

The previous prime is 5148528428969. The next prime is 5148528429029. The reversal of 5148528429024 is 4209248258415.

It is a happy number.

5148528429024 is a `hidden beast` number, since 5 + 1 + 4 + 8 + 528 + 4 + 2 + 90 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148528429029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175248399 + ... + 175277774.

It is an arithmetic number, because the mean of its divisors is an integer number (165623617215).

Almost surely, 25148528429024 is an apocalyptic number.

5148528429024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5148528429024 is an abundant number, since it is smaller than the sum of its proper divisors (10751338823616).

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

5148528429024 is a wasteful number, since it uses less digits than its factorization.

5148528429024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350526209 (or 350526195 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 5148528429024 in words is "five trillion, one hundred forty-eight billion, five hundred twenty-eight million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 350526173 701052346 1051578519 1402104692 2103157038 2804209384 3154735557 4206314076 5608418768 5958944941 6309471114 8412628152 9464206671 11216837536 11917889882 12618942228 16825256304 17876834823 18928413342 23835779764 25237884456 33650512608 35753669646 37856826684 47671559528 50475768912 53630504469 71507339292 75713653368 95343119056 100951537824 107261008938 143014678584 151427306736 160891513407 190686238112 214522017876 286029357168 302854613472 321783026814 429044035752 572058714336 643566053628 858088071504 1287132107256 1716176143008 2574264214512 5148528429024