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112935475520 = 2657109462547
BaseRepresentation
bin110100100101101111…
…0101001100101000000
3101210111200000120202122
41221023132221211000
53322242440204040
6123514251103412
711105434463060
oct1511336514500
9353450016678
10112935475520
114399414a33a
1219a79a41b68
13a85a70bc7a
145674dd13a0
152e0eb931b5
hex1a4b7a9940

112935475520 has 112 divisors (see below), whose sum is σ = 310166186880. Its totient is φ = 38365415424.

The previous prime is 112935475511. The next prime is 112935475553. The reversal of 112935475520 is 25574539211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12887 + ... + 475433.

Almost surely, 2112935475520 is an apocalyptic number.

112935475520 is a gapful number since it is divisible by the number (10) 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 112935475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155083093440).

112935475520 is an abundant number, since it is smaller than the sum of its proper divisors (197230711360).

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

112935475520 is a wasteful number, since it uses less digits than its factorization.

112935475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462680 (or 462670 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 112935475520 in words is "one hundred twelve billion, nine hundred thirty-five million, four hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 140 160 218 224 280 320 436 448 545 560 763 872 1090 1120 1526 1744 2180 2240 3052 3488 3815 4360 6104 6976 7630 8720 12208 15260 17440 24416 30520 34880 48832 61040 122080 244160 462547 925094 1850188 2312735 3237829 3700376 4625470 6475658 7400752 9250940 12951316 14801504 16189145 18501880 25902632 29603008 32378290 37003760 50417623 51805264 64756580 74007520 100835246 103610528 129513160 148015040 201670492 207221056 252088115 259026320 352923361 403340984 504176230 518052640 705846722 806681968 1008352460 1036105280 1411693444 1613363936 1764616805 2016704920 2823386888 3226727872 3529233610 4033409840 5646773776 7058467220 8066819680 11293547552 14116934440 16133639360 22587095104 28233868880 56467737760 112935475520