Search a number
-
+
1133456120832 = 21037231534583
BaseRepresentation
bin10000011111100111001…
…111111101110000000000
311000100122111122210121010
4100133213033331300000
5122032304231331312
62224411430200520
7144614046030300
oct20374717756000
94010574583533
101133456120832
113a7772481832
121638081b3140
1382b661b5589
143cc0692b600
151e73cc1a93c
hex107e73fdc00

1133456120832 has 528 divisors, whose sum is σ = 3696928376832. Its totient is φ = 307417743360.

The previous prime is 1133456120821. The next prime is 1133456120851. The reversal of 1133456120832 is 2380216543311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247315213 + ... + 247319795.

Almost surely, 21133456120832 is an apocalyptic number.

1133456120832 is a gapful number since it is divisible by the number (12) 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 1133456120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848464188416).

1133456120832 is an abundant number, since it is smaller than the sum of its proper divisors (2563472256000).

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

1133456120832 is a wasteful number, since it uses less digits than its factorization.

1133456120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 1133456120832 in words is "one trillion, one hundred thirty-three billion, four hundred fifty-six million, one hundred twenty thousand, eight hundred thirty-two".