Search a number
-
+
1049990110080 = 273529411313511
BaseRepresentation
bin11110100011110000100…
…10011001101110000000
310201101012121122010200120
433101320102121232000
5114200334432010310
62122205300020240
7135600506451132
oct17217022315600
93641177563616
101049990110080
1137533105355a
1214b5b3691680
1378023c84b32
1438b69721052
151c4a5305b70
hexf478499b80

1049990110080 has 512 divisors, whose sum is σ = 3574788940800. Its totient is φ = 261660672000.

The previous prime is 1049990110067. The next prime is 1049990110093. The reversal of 1049990110080 is 800110999401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1049990110067) and next prime (1049990110093).

It is a super-2 number, since 2×10499901100802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299055525 + ... + 299059035.

It is an arithmetic number, because the mean of its divisors is an integer number (6982009650).

Almost surely, 21049990110080 is an apocalyptic number.

1049990110080 is a gapful number since it is divisible by the number (10) 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 1049990110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787394470400).

1049990110080 is an abundant number, since it is smaller than the sum of its proper divisors (2524798830720).

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

1049990110080 is a wasteful number, since it uses less digits than its factorization.

1049990110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 1049990110080 in words is "one trillion, forty-nine billion, nine hundred ninety million, one hundred ten thousand, eighty".