Search a number
-
+
1132074031564 = 2271723533535527
BaseRepresentation
bin10000011110010100110…
…111101101100111001100
311000020002012000101112201
4100132110313231213030
5122021441423002224
62224022335211244
7144534564332440
oct20362467554714
94006065011481
101132074031564
113a71233066a3
121634a1376b24
13829a5a68288
143cb1515c820
151e6ab712a44
hex10794ded9cc

1132074031564 has 192 divisors, whose sum is σ = 2556447215616. Its totient is φ = 427248746496.

The previous prime is 1132074031553. The next prime is 1132074031601. The reversal of 1132074031564 is 4651304702311.

It is a happy number.

It is a super-2 number, since 2×11320740315642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204823369 + ... + 204828895.

It is an arithmetic number, because the mean of its divisors is an integer number (13314829248).

Almost surely, 21132074031564 is an apocalyptic number.

1132074031564 is a gapful number since it is divisible by the number (14) 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 1132074031564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278223607808).

1132074031564 is an abundant number, since it is smaller than the sum of its proper divisors (1424373184052).

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

1132074031564 is a wasteful number, since it uses less digits than its factorization.

1132074031564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5982 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 1132074031564 its reverse (4651304702311), we get a palindrome (5783378733875).

The spelling of 1132074031564 in words is "one trillion, one hundred thirty-two billion, seventy-four million, thirty-one thousand, five hundred sixty-four".