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5516072310240 = 2532523166548077
BaseRepresentation
bin101000001000100111110…
…0001111101010111100000
3201112022221120012210110100
41100101033201331113200
51210333404002411430
615422014301102400
71106344262010042
oct120211741752740
921468846183410
105516072310240
111837398019588
12751075557a00
13310217c6548b
14150d9d3a1a92
1598744380960
hex5044f87d5e0

5516072310240 has 144 divisors (see below), whose sum is σ = 19642014127008. Its totient is φ = 1406998146048.

The previous prime is 5516072310223. The next prime is 5516072310247. The reversal of 5516072310240 is 420132706155.

5516072310240 is a `hidden beast` number, since 5 + 5 + 1 + 607 + 2 + 3 + 1 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5516072310195 and 5516072310204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5516072310247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83240919 + ... + 83307158.

It is an arithmetic number, because the mean of its divisors is an integer number (136402875882).

Almost surely, 25516072310240 is an apocalyptic number.

It is an amenable number.

5516072310240 is an abundant number, since it is smaller than the sum of its proper divisors (14125941816768).

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

5516072310240 is a wasteful number, since it uses less digits than its factorization.

5516072310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166548121 (or 166548110 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 5516072310240 in words is "five trillion, five hundred sixteen billion, seventy-two million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 166548077 333096154 499644231 666192308 832740385 999288462 1332384616 1498932693 1665480770 1998576924 2498221155 2664769232 2997865386 3330961540 3830605771 3997153848 4996442310 5329538464 5995730772 6661923080 7494663465 7661211542 7994307696 9992884620 11491817313 11991461544 13323846160 14989326930 15322423084 15988615392 19153028855 19985769240 22983634626 23982923088 26647692320 29978653860 30644846168 34475451939 38306057710 39971538480 45967269252 47965846176 57459086565 59957307720 61289692336 68950903878 76612115420 79943076960 91934538504 114918173130 119914615440 122579384672 137901807756 153224230840 172377259695 183869077008 229836346260 239829230880 275803615512 306448461680 344754519390 367738154016 459672692520 551607231024 612896923360 689509038780 919345385040 1103214462048 1379018077560 1838690770080 2758036155120 5516072310240