Search a number
-
+
1132537511040 = 2735133773107157
BaseRepresentation
bin10000011110110000011…
…111101111110010000000
311000021021111010120212020
4100132300133233302000
5122023414100323130
62224140333201440
7144552223002525
oct20366037576200
94007244116766
101132537511040
113a7340999691
121635b0630280
1382a4aaa44a0
143cb5a92914c
151e6d7264e10
hex107b07efc80

1132537511040 has 1024 divisors, whose sum is σ = 4111266378240. Its totient is φ = 263339900928.

The previous prime is 1132537511023. The next prime is 1132537511041. The reversal of 1132537511040 is 401157352311.

It is a junction number, because it is equal to n+sod(n) for n = 1132537510992 and 1132537511010.

It is not an unprimeable number, because it can be changed into a prime (1132537511041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7213614642 + ... + 7213614798.

Almost surely, 21132537511040 is an apocalyptic number.

1132537511040 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 1132537511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055633189120).

1132537511040 is an abundant number, since it is smaller than the sum of its proper divisors (2978728867200).

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

1132537511040 is a wasteful number, since it uses less digits than its factorization.

1132537511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 1132537511040 in words is "one trillion, one hundred thirty-two billion, five hundred thirty-seven million, five hundred eleven thousand, forty".