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130448102976 = 263210121492
BaseRepresentation
bin111100101111101010…
…0000001011001000000
3110110201011010020100100
41321133110001121000
54114124203243401
6135532123322400
712265424403012
oct1713724013100
9413634106310
10130448102976
115036060a574
1221346980400
13c3bb988c19
146456bd21b2
1535d7379b86
hex1e5f501640

130448102976 has 189 divisors, whose sum is σ = 380196164803. Its totient is φ = 42763238400.

The previous prime is 130448102971. The next prime is 130448103031. The reversal of 130448102976 is 679201844031.

The square root of 130448102976 is 361176.

It is a perfect power (a square), and thus also a powerful number.

130448102976 is a `hidden beast` number, since 1 + 30 + 448 + 102 + 9 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2913408576 + 127534694400 = 53976^2 + 357120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130448102971) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 875490550 + ... + 875490698.

Almost surely, 2130448102976 is an apocalyptic number.

130448102976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130448102976 is the 361176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130448102976

130448102976 is an abundant number, since it is smaller than the sum of its proper divisors (249748061827).

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

130448102976 is an equidigital number, since it uses as much as digits as its factorization.

130448102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 130448102976 in words is "one hundred thirty billion, four hundred forty-eight million, one hundred two thousand, nine hundred seventy-six".