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5348706225120 = 253351238126441
BaseRepresentation
bin100110111010101011110…
…1111000000101111100000
3200221022221112101202022000
41031311113233000233200
51200113122243200440
615213054533044000
71061300632525026
oct115652757005740
920838845352260
105348706225120
111782412250675
12724746a86600
132ca4c48c720b
14146c43478716
15941eadb4730
hex4dd57bc0be0

5348706225120 has 96 divisors (see below), whose sum is σ = 18720471803040. Its totient is φ = 1426321658880.

The previous prime is 5348706225043. The next prime is 5348706225127. The reversal of 5348706225120 is 215226078435.

5348706225120 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 7 + 0 + 622 + 5 + 12 + 0 = 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348706225127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619058901 + ... + 619067540.

It is an arithmetic number, because the mean of its divisors is an integer number (195004914615).

Almost surely, 25348706225120 is an apocalyptic number.

It is an amenable number.

5348706225120 is an abundant number, since it is smaller than the sum of its proper divisors (13371765577920).

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

5348706225120 is a wasteful number, since it uses less digits than its factorization.

5348706225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238126465 (or 1238126451 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5348706225120 in words is "five trillion, three hundred forty-eight billion, seven hundred six million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1238126441 2476252882 3714379323 4952505764 6190632205 7428758646 9905011528 11143137969 12381264410 14857517292 18571896615 19810023056 22286275938 24762528820 29715034584 33429413907 37143793230 39620046112 44572551876 49525057640 55715689845 59430069168 66858827814 74287586460 89145103752 99050115280 111431379690 118860138336 133717655628 148575172920 167147069535 178290207504 198100230560 222862759380 267435311256 297150345840 334294139070 356580415008 445725518760 534870622512 594300691680 668588278140 891451037520 1069741245024 1337176556280 1782902075040 2674353112560 5348706225120