Search a number
-
+
29415996045 = 345521139409
BaseRepresentation
bin11011011001010101…
…000111101010001101
32210221001101102120000
4123121111013222031
5440220443333140
621302530514513
72060645561262
oct333125075215
983831342500
1029415996045
1111525621237
12584b435a39
132a0a3aa327
1415d0a67269
15b7271aa30
hex6d9547a8d

29415996045 has 40 divisors (see below), whose sum is σ = 52832486520. Its totient is φ = 15658306560.

The previous prime is 29415996041. The next prime is 29415996091. The reversal of 29415996045 is 54069951492.

29415996045 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 599 + 6 + 0 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411521796 + 29004474249 = 20286^2 + 170307^2 .

It is not a de Polignac number, because 29415996045 - 22 = 29415996041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29415995982 and 29415996000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29415996041) 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 39 ways as a sum of consecutive naturals, for example, 141301 + ... + 280709.

It is an arithmetic number, because the mean of its divisors is an integer number (1320812163).

Almost surely, 229415996045 is an apocalyptic number.

It is an amenable number.

29415996045 is a deficient number, since it is larger than the sum of its proper divisors (23416490475).

29415996045 is a wasteful number, since it uses less digits than its factorization.

29415996045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139947 (or 139938 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 29415996045 in words is "twenty-nine billion, four hundred fifteen million, nine hundred ninety-six thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 521 1563 2605 4689 7815 14067 23445 42201 70335 139409 211005 418227 697045 1254681 2091135 3764043 6273405 11292129 18820215 56460645 72632089 217896267 363160445 653688801 1089481335 1961066403 3268444005 5883199209 9805332015 29415996045