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107481720680 = 23531260933223
BaseRepresentation
bin110010000011001101…
…0001110011101101000
3101021102120211010120122
41210012122032131220
53230110310030210
6121213150142412
710523332360145
oct1440632163550
9337376733518
10107481720680
11416456a1634
12189b74b1a08
13a19b86a5b9
1452b89753cc
152be0eaab55
hex190668e768

107481720680 has 64 divisors (see below), whose sum is σ = 249738163200. Its totient is φ = 41588628480.

The previous prime is 107481720677. The next prime is 107481720683. The reversal of 107481720680 is 86027184701.

It is an interprime number because it is at equal distance from previous prime (107481720677) and next prime (107481720683).

It is not an unprimeable number, because it can be changed into a prime (107481720683) by changing a digit.

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, 3218549 + ... + 3251771.

It is an arithmetic number, because the mean of its divisors is an integer number (3902158800).

Almost surely, 2107481720680 is an apocalyptic number.

107481720680 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 107481720680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124869081600).

107481720680 is an abundant number, since it is smaller than the sum of its proper divisors (142256442520).

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

107481720680 is a wasteful number, since it uses less digits than its factorization.

107481720680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35874 (or 35870 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The spelling of 107481720680 in words is "one hundred seven billion, four hundred eighty-one million, seven hundred twenty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 2609 5218 10436 13045 20872 26090 33223 52180 66446 80879 104360 132892 161758 166115 265784 323516 332230 404395 647032 664460 808790 1029913 1328920 1617580 2059826 3235160 4119652 5149565 8239304 10299130 20598260 41196520 86678807 173357614 346715228 433394035 693430456 866788070 1733576140 2687043017 3467152280 5374086034 10748172068 13435215085 21496344136 26870430170 53740860340 107481720680