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112622860416 = 27311228111689
BaseRepresentation
bin110100011100011011…
…0000111100010000000
3101202200212210002110110
41220320312013202000
53321122423013131
6123423242431320
711064620342553
oct1507066074200
9352625702413
10112622860416
1143843739a50
12199b1202540
13a80aa15211
14564569669a
152de24e1646
hex1a38d87880

112622860416 has 128 divisors (see below), whose sum is σ = 326521339200. Its totient is φ = 34110259200.

The previous prime is 112622860409. The next prime is 112622860429. The reversal of 112622860416 is 614068226211.

It is a happy number.

112622860416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9629100 + ... + 9640788.

Almost surely, 2112622860416 is an apocalyptic number.

112622860416 is a gapful number since it is divisible by the number (16) 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 112622860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163260669600).

112622860416 is an abundant number, since it is smaller than the sum of its proper divisors (213898478784).

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

112622860416 is a wasteful number, since it uses less digits than its factorization.

112622860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13998 (or 13986 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 112622860416 in words is "one hundred twelve billion, six hundred twenty-two million, eight hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2281 4224 4562 6843 9124 11689 13686 18248 23378 25091 27372 35067 36496 46756 50182 54744 70134 72992 75273 93512 100364 109488 128579 140268 145984 150546 187024 200728 218976 257158 280536 291968 301092 374048 385737 401456 437952 514316 561072 602184 748096 771474 802912 875904 1028632 1122144 1204368 1496192 1542948 1605824 2057264 2244288 2408736 3085896 3211648 4114528 4488576 4817472 6171792 8229056 9634944 12343584 16458112 24687168 26662609 49374336 53325218 79987827 106650436 159975654 213300872 293288699 319951308 426601744 586577398 639902616 853203488 879866097 1173154796 1279805232 1706406976 1759732194 2346309592 2559610464 3412813952 3519464388 4692619184 5119220928 7038928776 9385238368 10238441856 14077857552 18770476736 28155715104 37540953472 56311430208 112622860416