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130037151816 = 23351113467773
BaseRepresentation
bin111100100011011010…
…0010111100001001000
3110102122111211202100000
41321012310113201020
54112304002324231
6135423243243000
712252304360455
oct1710664274110
9412574752300
10130037151816
115016a644910
1221251219460
13c3547b1b60
1464183ba82c
1535b12516e6
hex1e46d17848

130037151816 has 192 divisors, whose sum is σ = 429079734720. Its totient is φ = 36373950720.

The previous prime is 130037151781. The next prime is 130037151833. The reversal of 130037151816 is 618151730031.

130037151816 is a `hidden beast` number, since 130 + 0 + 3 + 7 + 1 + 518 + 1 + 6 = 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44106 + ... + 511878.

It is an arithmetic number, because the mean of its divisors is an integer number (2234790285).

Almost surely, 2130037151816 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 130037151816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214539867360).

130037151816 is an abundant number, since it is smaller than the sum of its proper divisors (299042582904).

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

130037151816 is a wasteful number, since it uses less digits than its factorization.

130037151816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467818 (or 467802 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 130037151816 its reverse (618151730031), we get a palindrome (748188881847).

The spelling of 130037151816 in words is "one hundred thirty billion, thirty-seven million, one hundred fifty-one thousand, eight hundred sixteen".