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112477114368 = 2123219315809
BaseRepresentation
bin110100011000000101…
…0001001000000000000
3101202022201112102110200
41220300022021000000
53320323120124433
6123400554525200
711061200461143
oct1506012110000
9352281472420
10112477114368
1143779442873
1219970436800
13a7b6775658
14563019805a
152dd4802613
hex1a30289000

112477114368 has 156 divisors (see below), whose sum is σ = 326598268620. Its totient is φ = 37295751168.

The previous prime is 112477114363. The next prime is 112477114427. The reversal of 112477114368 is 863411774211.

112477114368 is a `hidden beast` number, since 1 + 1 + 2 + 477 + 114 + 3 + 68 = 666.

112477114368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13448577024 + 99028537344 = 115968^2 + 314688^2 .

It is a super-2 number, since 2×1124771143682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112477114361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7106848 + ... + 7122656.

It is an arithmetic number, because the mean of its divisors is an integer number (2093578645).

Almost surely, 2112477114368 is an apocalyptic number.

112477114368 is a gapful number since it is divisible by the number (18) 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 112477114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163299134310).

112477114368 is an abundant number, since it is smaller than the sum of its proper divisors (214121154252).

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

112477114368 is a wasteful number, since it uses less digits than its factorization.

112477114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16032 (or 16007 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

Adding to 112477114368 its reverse (863411774211), we get a palindrome (975888888579).

The spelling of 112477114368 in words is "one hundred twelve billion, four hundred seventy-seven million, one hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 256 288 384 386 512 576 579 768 772 1024 1152 1158 1536 1544 1737 2048 2304 2316 3072 3088 3474 4096 4608 4632 6144 6176 6948 9216 9264 12288 12352 13896 15809 18432 18528 24704 27792 31618 36864 37056 47427 49408 55584 63236 74112 94854 98816 111168 126472 142281 148224 189708 197632 222336 252944 284562 296448 379416 395264 444672 505888 569124 592896 758832 790528 889344 1011776 1138248 1185792 1517664 1778688 2023552 2276496 2371584 3035328 3051137 3557376 4047104 4552992 6070656 6102274 7114752 8094208 9105984 9153411 12141312 12204548 16188416 18211968 18306822 24282624 24409096 27460233 32376832 36423936 36613644 48565248 48818192 54920466 64753664 72847872 73227288 97130496 97636384 109840932 145695744 146454576 194260992 195272768 219681864 291391488 292909152 390545536 439363728 582782976 585818304 781091072 878727456 1171636608 1562182144 1757454912 2343273216 3124364288 3514909824 4686546432 6248728576 7029819648 9373092864 12497457152 14059639296 18746185728 28119278592 37492371456 56238557184 112477114368