Search a number
-
+
1049907253248 = 2123375325589
BaseRepresentation
bin11110100011100110101…
…10010101000000000000
310201100222211201120111000
433101303112111000000
5114200202224100443
62122153140052000
7135565452256050
oct17216326250000
93640884646430
101049907253248
11375299300a37
1214b58b994000
137800ca64319
1438b5c713560
151c49cdda8d3
hexf473595000

1049907253248 has 416 divisors, whose sum is σ = 3622020883200. Its totient is φ = 294302121984.

The previous prime is 1049907253183. The next prime is 1049907253261. The reversal of 1049907253248 is 8423527099401.

1049907253248 is a `hidden beast` number, since 10 + 4 + 9 + 90 + 7 + 2 + 532 + 4 + 8 = 666.

It is a super-2 number, since 2×10499072532482 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1049907253194 and 1049907253203.

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, 41016838 + ... + 41042426.

Almost surely, 21049907253248 is an apocalyptic number.

1049907253248 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 1049907253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811010441600).

1049907253248 is an abundant number, since it is smaller than the sum of its proper divisors (2572113629952).

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

1049907253248 is an equidigital number, since it uses as much as digits as its factorization.

1049907253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25682 (or 25654 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1049907253248 in words is "one trillion, forty-nine billion, nine hundred seven million, two hundred fifty-three thousand, two hundred forty-eight".