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130605696000 = 2103553131719
BaseRepresentation
bin111100110100010110…
…1001100010000000000
3110111010010122210100000
41321220231030100000
54114440024233000
6135555513200000
712302350045623
oct1715055142000
9414103583300
10130605696000
115043156853a
122138b700000
13c415515c30
14646dad5dba
1535e6109000
hex1e68b4c400

130605696000 has 2112 divisors, whose sum is σ = 585833713920. Its totient is φ = 28665446400.

The previous prime is 130605695971. The next prime is 130605696031. The reversal of 130605696000 is 696506031.

130605696000 is a `hidden beast` number, since 1 + 30 + 6 + 0 + 569 + 60 + 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6873983991 + ... + 6873984009.

Almost surely, 2130605696000 is an apocalyptic number.

130605696000 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 130605696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292916856960).

130605696000 is an abundant number, since it is smaller than the sum of its proper divisors (455228017920).

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

130605696000 is a wasteful number, since it uses less digits than its factorization.

130605696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 130605696000 in words is "one hundred thirty billion, six hundred five million, six hundred ninety-six thousand".