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130066406800 = 24521173557727
BaseRepresentation
bin111100100100010001…
…1111101110110010000
3110102201112220001121221
41321020203331312100
54112334000004200
6135430210254424
712253111134121
oct1711043756620
9412645801557
10130066406800
1150185106590
122125ab87414
13c35a8859b5
14641c234048
1535b3ace91a
hex1e488fdd90

130066406800 has 240 divisors, whose sum is σ = 346658562432. Its totient is φ = 46501171200.

The previous prime is 130066406689. The next prime is 130066406849. The reversal of 130066406800 is 8604660031.

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 47 ways as a sum of consecutive naturals, for example, 178908037 + ... + 178908763.

Almost surely, 2130066406800 is an apocalyptic number.

130066406800 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 130066406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173329281216).

130066406800 is an abundant number, since it is smaller than the sum of its proper divisors (216592155632).

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

130066406800 is a wasteful number, since it uses less digits than its factorization.

130066406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 130066406800 in words is "one hundred thirty billion, sixty-six million, four hundred six thousand, eight hundred".