Search a number
-
+
151273651553 = 37113341310601
BaseRepresentation
bin1000110011100010011…
…1001011110101100001
3112110110112001201100022
42030320213023311201
54434302023322203
6153254423203225
713633462552043
oct2147047136541
9473415051308
10151273651553
115917803a442
12253992a6515
131135a3c052b
1474709b3a93
153e05817a38
hex23389cbd61

151273651553 has 16 divisors (see below), whose sum is σ = 156797727696. Its totient is φ = 145826150400.

The previous prime is 151273651531. The next prime is 151273651561. The reversal of 151273651553 is 355156372151.

151273651553 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19905823744 + 131367827809 = 141088^2 + 362447^2 .

It is a cyclic number.

It is not a de Polignac number, because 151273651553 - 214 = 151273635169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151273651523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14264453 + ... + 14275053.

It is an arithmetic number, because the mean of its divisors is an integer number (9799857981).

Almost surely, 2151273651553 is an apocalyptic number.

It is an amenable number.

151273651553 is a deficient number, since it is larger than the sum of its proper divisors (5524076143).

151273651553 is a wasteful number, since it uses less digits than its factorization.

151273651553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164.

The product of its digits is 472500, while the sum is 44.

The spelling of 151273651553 in words is "one hundred fifty-one billion, two hundred seventy-three million, six hundred fifty-one thousand, five hundred fifty-three".

Divisors: 1 37 113 3413 4181 10601 126281 385669 392237 1197913 14269753 36181213 44322781 1338704881 4088477069 151273651553