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107163005580 = 22325595350031
BaseRepresentation
bin110001111001101101…
…0011011001010001100
3101020121101002201122200
41203303122123022030
53223432212134310
6121121403041500
710512412342461
oct1436332331214
9336541081580
10107163005580
11414a17a5224
1218928810290
13a14a819197
1452884cd668
152bc30019c0
hex18f369b28c

107163005580 has 36 divisors (see below), whose sum is σ = 325061117472. Its totient is φ = 28576801440.

The previous prime is 107163005569. The next prime is 107163005617. The reversal of 107163005580 is 85500361701.

107163005580 is a `hidden beast` number, since 1 + 0 + 71 + 6 + 3 + 0 + 0 + 5 + 580 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1071630055803 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 297674836 + ... + 297675195.

Almost surely, 2107163005580 is an apocalyptic number.

107163005580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107163005580 is an abundant number, since it is smaller than the sum of its proper divisors (217898111892).

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

107163005580 is a wasteful number, since it uses less digits than its factorization.

107163005580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595350046 (or 595350041 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 107163005580 in words is "one hundred seven billion, one hundred sixty-three million, five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 595350031 1190700062 1786050093 2381400124 2976750155 3572100186 5358150279 5953500310 7144200372 8930250465 10716300558 11907000620 17860500930 21432601116 26790751395 35721001860 53581502790 107163005580