Search a number
-
+
123035354513552 = 2413591516127469
BaseRepresentation
bin11011111110011001100110…
…100110011100000010010000
3121010122001202101210200111102
4123332121212212130002100
5112111302401223413202
61113401354522203532
734626003531640625
oct3376314646340220
9533561671720442
10123035354513552
1136226001109228
12119710ab3535a8
135386251756c80
142254d2b59634c
15e35672b05d02
hex6fe66699c090

123035354513552 has 20 divisors (see below), whose sum is σ = 256717999321980. Its totient is φ = 56785548236928.

The previous prime is 123035354513551. The next prime is 123035354513557. The reversal of 123035354513552 is 255315453530321.

It can be written as a sum of positive squares in 2 ways, for example, as 24355448895376 + 98679905618176 = 4935124^2 + 9933776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123035354513497 and 123035354513506.

It is not an unprimeable number, because it can be changed into a prime (123035354513551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 295758063527 + ... + 295758063942.

It is an arithmetic number, because the mean of its divisors is an integer number (12835899966099).

Almost surely, 2123035354513552 is an apocalyptic number.

It is an amenable number.

123035354513552 is an abundant number, since it is smaller than the sum of its proper divisors (133682644808428).

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

123035354513552 is a wasteful number, since it uses less digits than its factorization.

123035354513552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591516127490 (or 591516127484 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 47.

The spelling of 123035354513552 in words is "one hundred twenty-three trillion, thirty-five billion, three hundred fifty-four million, five hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 591516127469 1183032254938 2366064509876 4732129019752 7689709657097 9464258039504 15379419314194 30758838628388 61517677256776 123035354513552