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2252612651856 = 243719388990731
BaseRepresentation
bin100000110001111010001…
…011010100101101010000
321222100101110010011122220
4200301322023110231100
5243401322314324411
64442500322501040
7321513561421440
oct40617213245520
97870343104586
102252612651856
11799367131046
123046a3504780
131345609a5ab8
147b054278120
153d8e0375b06
hex20c7a2d4b50

2252612651856 has 160 divisors (see below), whose sum is σ = 7002478003200. Its totient is φ = 609566238720.

The previous prime is 2252612651813. The next prime is 2252612651873. The reversal of 2252612651856 is 6581562162522.

It is a super-3 number, since 3×22526126518563 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2252612651799 and 2252612651808.

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, 24782011 + ... + 24872741.

It is an arithmetic number, because the mean of its divisors is an integer number (43765487520).

Almost surely, 22252612651856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252612651856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501239001600).

2252612651856 is an abundant number, since it is smaller than the sum of its proper divisors (4749865351344).

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

2252612651856 is a wasteful number, since it uses less digits than its factorization.

2252612651856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94657 (or 94651 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 51.

The spelling of 2252612651856 in words is "two trillion, two hundred fifty-two billion, six hundred twelve million, six hundred fifty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3889 6384 7778 11667 15556 23334 27223 31112 46668 54446 62224 73891 81669 90731 93336 108892 147782 163338 181462 186672 217784 221673 272193 295564 326676 362924 435568 443346 517237 544386 591128 635117 653352 725848 886692 1034474 1088772 1182256 1270234 1306704 1451696 1551711 1723889 1773384 1905351 2068948 2177544 2540468 3103422 3447778 3546768 3810702 4137896 4355088 5080936 5171667 6206844 6895556 7621404 8275792 10161872 10343334 12067223 12413688 13791112 15242808 20686668 24134446 24827376 27582224 30485616 36201669 41373336 48268892 72403338 82746672 96537784 144806676 193075568 289613352 352852859 579226704 705705718 1058558577 1411411436 2117117154 2469970013 2822822872 4234234308 4939940026 5645645744 6704204321 7409910039 8468468616 9879880052 13408408642 14819820078 16936937232 19759760104 20112612963 26816817284 29639640156 39519520208 40225225926 46929430247 53633634568 59279280312 80450451852 93858860494 107267269136 118558560624 140788290741 160900903704 187717720988 281576581482 321801807408 375435441976 563153162964 750870883952 1126306325928 2252612651856