Search a number
-
+
1099375490304 = 28337213219207
BaseRepresentation
bin11111111111101111110…
…00101011010100000000
310220002200100221101111000
433333313320223110000
5121003010111142204
62201013544052000
7142266356324400
oct17776770532400
93802610841430
101099375490304
11394273892683
12159096764000
137c8945aa700
143b2d2580800
151d8e5c41039
hexfff7e2b500

1099375490304 has 648 divisors, whose sum is σ = 4095330765120. Its totient is φ = 289930088448.

The previous prime is 1099375490273. The next prime is 1099375490327. The reversal of 1099375490304 is 4030945739901.

It is a happy number.

1099375490304 is a `hidden beast` number, since 1 + 0 + 9 + 93 + 7 + 549 + 0 + 3 + 0 + 4 = 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 71 ways as a sum of consecutive naturals, for example, 57228669 + ... + 57247875.

Almost surely, 21099375490304 is an apocalyptic number.

1099375490304 is a gapful number since it is divisible by the number (14) 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 1099375490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047665382560).

1099375490304 is an abundant number, since it is smaller than the sum of its proper divisors (2995955274816).

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

1099375490304 is a wasteful number, since it uses less digits than its factorization.

1099375490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272 (or 19232 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1099375490304 in words is "one trillion, ninety-nine billion, three hundred seventy-five million, four hundred ninety thousand, three hundred four".