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6112350712320 = 29351741457139
BaseRepresentation
bin101100011110010010001…
…1111100011001000000000
3210122100001020020002100120
41120330210133203020000
51300121043240243240
620555550344420240
71200413514545256
oct130744437431000
923570036202316
106112350712320
111a472626a0516
12828745a77680
13354513879528
14171ba72825d6
15a8ee261cad0
hex58f247e3200

6112350712320 has 160 divisors (see below), whose sum is σ = 19551687629760. Its totient is φ = 1629020405760.

The previous prime is 6112350712309. The next prime is 6112350712327. The reversal of 6112350712320 is 232170532116.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×61123507123202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6112350712327) 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, 13142311 + ... + 13599449.

It is an arithmetic number, because the mean of its divisors is an integer number (122198047686).

Almost surely, 26112350712320 is an apocalyptic number.

6112350712320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6112350712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9775843814880).

6112350712320 is an abundant number, since it is smaller than the sum of its proper divisors (13439336917440).

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

6112350712320 is a wasteful number, since it uses less digits than its factorization.

6112350712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458906 (or 458890 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 6112350712320 in words is "six trillion, one hundred twelve billion, three hundred fifty million, seven hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1741 1920 2560 3482 3840 5223 6964 7680 8705 10446 13928 17410 20892 26115 27856 34820 41784 52230 55712 69640 83568 104460 111424 139280 167136 208920 222848 278560 334272 417840 445696 457139 557120 668544 835680 891392 914278 1114240 1337088 1371417 1671360 1828556 2228480 2285695 2674176 2742834 3342720 3657112 4456960 4571390 5485668 6685440 6857085 7314224 9142780 10971336 13370880 13714170 14628448 18285560 21942672 27428340 29256896 36571120 43885344 54856680 58513792 73142240 87770688 109713360 117027584 146284480 175541376 219426720 234055168 292568960 351082752 438853440 585137920 702165504 795878999 877706880 1170275840 1591757998 1755413760 2387636997 3183515996 3510827520 3979394995 4775273994 6367031992 7958789990 9550547988 11938184985 12734063984 15917579980 19101095976 23876369970 25468127968 31835159960 38202191952 47752739940 50936255936 63670319920 76404383904 95505479880 101872511872 127340639840 152808767808 191010959760 203745023744 254681279680 305617535616 382021919520 407490047488 509362559360 611235071232 764043839040 1018725118720 1222470142464 1528087678080 2037450237440 3056175356160 6112350712320