Search a number
-
+
1055357337600 = 216335223857
BaseRepresentation
bin11110101101110000011…
…00110000000000000000
310201220001200000112201000
433112320030300000000
5114242332434300400
62124454030212000
7136150511233566
oct17267014600000
93656050015630
101055357337600
11377635781a85
12150651054000
137869ac1c0c7
1439118495a36
151c6bb5ea600
hexf5b8330000

1055357337600 has 408 divisors, whose sum is σ = 3877593978320. Its totient is φ = 281416826880.

The previous prime is 1055357337553. The next prime is 1055357337607. The reversal of 1055357337600 is 67337535501.

1055357337600 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 5 + 7 + 3 + 37 + 600 = 666.

It is a super-2 number, since 2×10553573376002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055357337607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44224872 + ... + 44248728.

Almost surely, 21055357337600 is an apocalyptic number.

1055357337600 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 1055357337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938796989160).

1055357337600 is an abundant number, since it is smaller than the sum of its proper divisors (2822236640720).

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

1055357337600 is an frugal number, since it uses more digits than its factorization.

1055357337600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23908 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 992250, while the sum is 45.

The spelling of 1055357337600 in words is "one trillion, fifty-five billion, three hundred fifty-seven million, three hundred thirty-seven thousand, six hundred".