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107037642080 = 2554714233729
BaseRepresentation
bin110001110101111110…
…0001100110101100000
3101020021122012121021002
41203223330030311200
53223203114021310
6121101124051132
710506330642305
oct1435374146540
9336248177232
10107037642080
1141437a5a826
12188b2833aa8
13a12a864bb5
1452759b90ac
152bb6edbda5
hex18ebf0cd60

107037642080 has 48 divisors (see below), whose sum is σ = 258256797120. Its totient is φ = 41904095232.

The previous prime is 107037642043. The next prime is 107037642083. The reversal of 107037642080 is 80246730701.

107037642080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1070376420802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107037642083) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7109345 + ... + 7124384.

It is an arithmetic number, because the mean of its divisors is an integer number (5380349940).

Almost surely, 2107037642080 is an apocalyptic number.

107037642080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107037642080 is an abundant number, since it is smaller than the sum of its proper divisors (151219155040).

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

107037642080 is a wasteful number, since it uses less digits than its factorization.

107037642080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233791 (or 14233783 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 107037642080 in words is "one hundred seven billion, thirty-seven million, six hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 14233729 28467458 56934916 71168645 113869832 142337290 227739664 284674580 455479328 569349160 668985263 1138698320 1337970526 2277396640 2675941052 3344926315 5351882104 6689852630 10703764208 13379705260 21407528416 26759410520 53518821040 107037642080