Search a number
-
+
1131651855360 = 21035513313761
BaseRepresentation
bin10000011101111011101…
…101001111010000000000
311000011222202121121200000
4100131323231033100000
5122020110333332420
62223512414400000
7144521250026145
oct20357355172000
94004882547600
101131651855360
113a6a26a74444
121633a3b00000
1382939460b80
143cab50643cc
151e68461d690
hex1077bb4f400

1131651855360 has 2112 divisors, whose sum is σ = 4718715316224. Its totient is φ = 257989017600.

The previous prime is 1131651855343. The next prime is 1131651855371. The reversal of 1131651855360 is 635581561311.

1131651855360 is a `hidden beast` number, since 1 + 1 + 31 + 6 + 5 + 1 + 8 + 553 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18551669730 + ... + 18551669790.

Almost surely, 21131651855360 is an apocalyptic number.

1131651855360 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 1131651855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359357658112).

1131651855360 is an abundant number, since it is smaller than the sum of its proper divisors (3587063460864).

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

1131651855360 is a wasteful number, since it uses less digits than its factorization.

1131651855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1131651855360 in words is "one trillion, one hundred thirty-one billion, six hundred fifty-one million, eight hundred fifty-five thousand, three hundred sixty".