Search a number
-
+
1055556435136 = 267217182310861
BaseRepresentation
bin11110101110001000001…
…00001111110011000000
310201220120112122202011211
433113010010033303000
5114243234421411021
62124525501415504
7136155446442100
oct17270404176300
93656515582154
101055556435136
113777280a89a5
121506a786a594
137870024b6b8
1439136ac1200
151c6cdd273e1
hexf5c410fcc0

1055556435136 has 168 divisors, whose sum is σ = 2581580750976. Its totient is φ = 425497927680.

The previous prime is 1055556435107. The next prime is 1055556435149. The reversal of 1055556435136 is 6315346555501.

It is a super-2 number, since 2×10555564351362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1055556435136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97182346 + ... + 97193206.

Almost surely, 21055556435136 is an apocalyptic number.

1055556435136 is a gapful number since it is divisible by the number (16) 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 1055556435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290790375488).

1055556435136 is an abundant number, since it is smaller than the sum of its proper divisors (1526024315840).

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

1055556435136 is a wasteful number, since it uses less digits than its factorization.

1055556435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12727 (or 12710 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 49.

The spelling of 1055556435136 in words is "one trillion, fifty-five billion, five hundred fifty-six million, four hundred thirty-five thousand, one hundred thirty-six".