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130570600644000 = 253453111914912941
BaseRepresentation
bin11101101100000011010110…
…010001001111110110100000
3122010022102112122210022120000
4131230003112101033312200
5114103232042231102000
61141411150022020000
736334262130151356
oct3554032621176640
9563272478708500
10130570600644000
11386707541054a0
1212789559b77600
1357b19a741034a
142435917aab7d6
1510166933d6000
hex76c0d644fda0

130570600644000 has 1920 divisors, whose sum is σ = 554056959456000. Its totient is φ = 29783946240000.

The previous prime is 130570600643983. The next prime is 130570600644079. The reversal of 130570600644000 is 446006075031.

It is a happy number.

130570600644000 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 7 + 0 + 6 + 0 + 0 + 644 + 0 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10089677530 + ... + 10089690470.

It is an arithmetic number, because the mean of its divisors is an integer number (288571333050).

Almost surely, 2130570600644000 is an apocalyptic number.

130570600644000 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 130570600644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277028479728000).

130570600644000 is an abundant number, since it is smaller than the sum of its proper divisors (423486358812000).

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

130570600644000 is a wasteful number, since it uses less digits than its factorization.

130570600644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13157 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 130570600644000 in words is "one hundred thirty trillion, five hundred seventy billion, six hundred million, six hundred forty-four thousand".