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112918631958 = 23311683278329
BaseRepresentation
bin110100100101001111…
…0011001011000010110
3101210110111022211202000
41221022132121120112
53322224132210313
6123512450100130
711105141351346
oct1511236313026
9353414284660
10112918631958
1143985695540
1219a7427a646
13a857092472
145672a88d26
152e0d467673
hex1a4a799616

112918631958 has 64 divisors (see below), whose sum is σ = 274143916800. Its totient is φ = 34167545280.

The previous prime is 112918631927. The next prime is 112918631963. The reversal of 112918631958 is 859136819211.

It is a happy number.

112918631958 is a `hidden beast` number, since 112 + 91 + 86 + 319 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266538 + ... + 544866.

It is an arithmetic number, because the mean of its divisors is an integer number (4283498700).

Almost surely, 2112918631958 is an apocalyptic number.

112918631958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112918631958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137071958400).

112918631958 is an abundant number, since it is smaller than the sum of its proper divisors (161225284842).

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

112918631958 is a wasteful number, since it uses less digits than its factorization.

112918631958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279034 (or 279028 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 112918631958 in words is "one hundred twelve billion, nine hundred eighteen million, six hundred thirty-one thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 683 1366 2049 4098 6147 7513 12294 15026 18441 22539 36882 45078 67617 135234 202851 278329 405702 556658 834987 1669974 2504961 3061619 5009922 6123238 7514883 9184857 15029766 18369714 27554571 55109142 82663713 165327426 190098707 380197414 570296121 1140592242 1710888363 2091085777 3421776726 4182171554 5132665089 6273257331 10265330178 12546514662 18819771993 37639543986 56459315979 112918631958