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112565323640 = 23571159361631
BaseRepresentation
bin110100011010101101…
…0101000011101111000
3101202112212111220211202
41220311122220131320
53321013210324030
6123413425313332
711063321315060
oct1506532503570
9352485456752
10112565323640
11438142107a0
1219995a95848
13a7cbb1b4a3
14563bb9a3a0
152ddc428745
hex1a356a8778

112565323640 has 128 divisors (see below), whose sum is σ = 316305285120. Its totient is φ = 35025561600.

The previous prime is 112565323639. The next prime is 112565323657. The reversal of 112565323640 is 46323565211.

It is a junction number, because it is equal to n+sod(n) for n = 112565323594 and 112565323603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795625 + ... + 1857255.

It is an arithmetic number, because the mean of its divisors is an integer number (2471135040).

Almost surely, 2112565323640 is an apocalyptic number.

112565323640 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 112565323640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158152642560).

112565323640 is an abundant number, since it is smaller than the sum of its proper divisors (203739961480).

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

112565323640 is a wasteful number, since it uses less digits than its factorization.

112565323640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62253 (or 62249 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 112565323640 its reverse (46323565211), we get a palindrome (158888888851).

The spelling of 112565323640 in words is "one hundred twelve billion, five hundred sixty-five million, three hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 593 616 770 1186 1540 2372 2965 3080 4151 4744 5930 6523 8302 11860 13046 16604 20755 23720 26092 32615 33208 41510 45661 52184 61631 65230 83020 91322 123262 130460 166040 182644 228305 246524 260920 308155 365288 431417 456610 493048 616310 677941 862834 913220 1232620 1355882 1725668 1826440 2157085 2465240 2711764 3389705 3451336 4314170 4745587 5423528 6779410 8628340 9491174 13558820 17256680 18982348 23727935 27117640 36547183 37964696 47455870 73094366 94911740 146188732 182735915 189823480 255830281 292377464 365471830 402019013 511660562 730943660 804038026 1023321124 1279151405 1461887320 1608076052 2010095065 2046642248 2558302810 2814133091 3216152104 4020190130 5116605620 5628266182 8040380260 10233211240 11256532364 14070665455 16080760520 22513064728 28141330910 56282661820 112565323640