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106648493800 = 2352533242469
BaseRepresentation
bin110001101010010111…
…1101101111011101000
3101012021111221211011211
41203110233231323220
53221404003300200
6120554343202504
710463564145232
oct1432457557350
9335244854154
10106648493800
1141258326982
1218804446434
13a098052a44
14523a03b252
152b92c6daba
hex18d4bedee8

106648493800 has 24 divisors (see below), whose sum is σ = 247957748550. Its totient is φ = 42659397440.

The previous prime is 106648493779. The next prime is 106648493813. The reversal of 106648493800 is 8394846601.

It can be written as a sum of positive squares in 3 ways, for example, as 99251461764 + 7397032036 = 315042^2 + 86006^2 .

It is a super-2 number, since 2×1066484938002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266621035 + ... + 266621434.

Almost surely, 2106648493800 is an apocalyptic number.

106648493800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106648493800 is an abundant number, since it is smaller than the sum of its proper divisors (141309254750).

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

106648493800 is a wasteful number, since it uses less digits than its factorization.

106648493800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533242485 (or 533242476 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 106648493800 in words is "one hundred six billion, six hundred forty-eight million, four hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 533242469 1066484938 2132969876 2666212345 4265939752 5332424690 10664849380 13331061725 21329698760 26662123450 53324246900 106648493800