Search a number
-
+
145509751556 = 22133775628769
BaseRepresentation
bin1000011110000100001…
…1101001101100000100
3111220120211021020222122
42013201003221230010
54341000444022211
6150502442545112
713340603323631
oct2074103515404
9456524236878
10145509751556
115678a509024
122424ab08198
131094c20b410
1470852a3188
153bb97ba6db
hex21e10e9b04

145509751556 has 24 divisors (see below), whose sum is σ = 281641539480. Its totient is φ = 65343255552.

The previous prime is 145509751549. The next prime is 145509751559. The reversal of 145509751556 is 655157905541.

It can be written as a sum of positive squares in 4 ways, for example, as 54326286400 + 91183465156 = 233080^2 + 301966^2 .

It is a super-2 number, since 2×1455097515562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145509751498 and 145509751507.

It is not an unprimeable number, because it can be changed into a prime (145509751559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37812461 + ... + 37816308.

It is an arithmetic number, because the mean of its divisors is an integer number (11735064145).

Almost surely, 2145509751556 is an apocalyptic number.

It is an amenable number.

145509751556 is a deficient number, since it is larger than the sum of its proper divisors (136131787924).

145509751556 is a wasteful number, since it uses less digits than its factorization.

145509751556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75628823 (or 75628821 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 53.

The spelling of 145509751556 in words is "one hundred forty-five billion, five hundred nine million, seven hundred fifty-one thousand, five hundred fifty-six".

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 75628769 151257538 302515076 983173997 1966347994 2798264453 3932695988 5596528906 11193057812 36377437889 72754875778 145509751556