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130681132608 = 26313297922853
BaseRepresentation
bin111100110110100110…
…0111101011001000000
3110111022101121100220110
41321231030331121000
54120113332220413
6140011210111320
712304254204465
oct1715514753100
9414271540813
10130681132608
1150470102144
12213b0a1b540
13c428039190
146479b3166c
1535eca5a8c3
hex1e6d33d640

130681132608 has 224 divisors, whose sum is σ = 390090355200. Its totient is φ = 38329933824.

The previous prime is 130681132607. The next prime is 130681132613. The reversal of 130681132608 is 806231186031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130681132607) 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 31 ways as a sum of consecutive naturals, for example, 5706910 + ... + 5729762.

It is an arithmetic number, because the mean of its divisors is an integer number (1741474800).

Almost surely, 2130681132608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130681132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195045177600).

130681132608 is an abundant number, since it is smaller than the sum of its proper divisors (259409222592).

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

130681132608 is a wasteful number, since it uses less digits than its factorization.

130681132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22989 (or 22979 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 130681132608 in words is "one hundred thirty billion, six hundred eighty-one million, one hundred thirty-two thousand, six hundred eight".