Search a number
-
+
1030506599808 = 27337137310927
BaseRepresentation
bin11101111111011101111…
…10101101010110000000
310122111220202222021011000
432333232332231112000
5113340434142143213
62105224100452000
7134310625400160
oct16775676552600
93574822867130
101030506599808
11368043123954
121478766aa000
137623a5b6a2a
1437c3bc845a0
151bc14aadc73
hexefeefad580

1030506599808 has 256 divisors, whose sum is σ = 3501298022400. Its totient is φ = 292280389632.

The previous prime is 1030506599711. The next prime is 1030506599819. The reversal of 1030506599808 is 8089956050301.

It is a happy number.

1030506599808 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 506 + 59 + 9 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3158841 + ... + 3469767.

It is an arithmetic number, because the mean of its divisors is an integer number (13676945400).

Almost surely, 21030506599808 is an apocalyptic number.

1030506599808 is a gapful number since it is divisible by the number (18) 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 1030506599808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750649011200).

1030506599808 is an abundant number, since it is smaller than the sum of its proper divisors (2470791422592).

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

1030506599808 is a wasteful number, since it uses less digits than its factorization.

1030506599808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311094 (or 311076 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1030506599808 in words is "one trillion, thirty billion, five hundred six million, five hundred ninety-nine thousand, eight hundred eight".