Search a number
-
+
1056516420120 = 233574621272183
BaseRepresentation
bin11110101111111010100…
…10010011001000011000
310202000001110001001000020
433113331102103020120
5114302221200420440
62125205033310440
7136221314253120
oct17277522231030
93660043031006
101056516420120
1137807aa80917
12150915265420
13788240b8255
14391c83b3c80
151c7382523d0
hexf5fd493218

1056516420120 has 128 divisors (see below), whose sum is σ = 3623139210240. Its totient is φ = 241436321280.

The previous prime is 1056516420067. The next prime is 1056516420181. The reversal of 1056516420120 is 210246156501.

It is a super-2 number, since 2×10565164201202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745549 + ... + 4017731.

It is an arithmetic number, because the mean of its divisors is an integer number (28305775080).

Almost surely, 21056516420120 is an apocalyptic number.

1056516420120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056516420120 is an abundant number, since it is smaller than the sum of its proper divisors (2566622790120).

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

1056516420120 is a wasteful number, since it uses less digits than its factorization.

1056516420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276825 (or 276821 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1056516420120 in words is "one trillion, fifty-six billion, five hundred sixteen million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4621 9242 13863 18484 23105 27726 32347 36968 46210 55452 64694 69315 92420 97041 110904 129388 138630 161735 184840 194082 258776 272183 277260 323470 388164 485205 544366 554520 646940 776328 816549 970410 1088732 1293880 1360915 1633098 1905281 1940820 2177464 2721830 3266196 3810562 3881640 4082745 5443660 5715843 6532392 7621124 8165490 9526405 10887320 11431686 15242248 16330980 19052810 22863372 28579215 32661960 38105620 45726744 57158430 76211240 114316860 228633720 1257757643 2515515286 3773272929 5031030572 6288788215 7546545858 8804303501 10062061144 12577576430 15093091716 17608607002 18866364645 25155152860 26412910503 30186183432 35217214004 37732729290 44021517505 50310305720 52825821006 70434428008 75465458580 88043035010 105651642012 132064552515 150930917160 176086070020 211303284024 264129105030 352172140040 528258210060 1056516420120