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130806486720 = 26325713238393
BaseRepresentation
bin111100111010010101…
…1001001011011000000
3110111122010111000102100
41321310223021123000
54120342430033340
6140031444550400
712310335535410
oct1716453113300
9414563430370
10130806486720
1150524940588
12214269b2400
13c447cb9100
14648c642640
153608a6c830
hex1e74ac96c0

130806486720 has 504 divisors, whose sum is σ = 556804531296. Its totient is φ = 27598012416.

The previous prime is 130806486709. The next prime is 130806486721. The reversal of 130806486720 is 27684608031.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1308064867202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130806486721) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3387844 + ... + 3426236.

Almost surely, 2130806486720 is an apocalyptic number.

130806486720 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 130806486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278402265648).

130806486720 is an abundant number, since it is smaller than the sum of its proper divisors (425998044576).

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

130806486720 is a wasteful number, since it uses less digits than its factorization.

130806486720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38449 (or 38423 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 130806486720 in words is "one hundred thirty billion, eight hundred six million, four hundred eighty-six thousand, seven hundred twenty".