Search a number
-
+
742548094506 = 2344583630213
BaseRepresentation
bin10101100111000110101…
…00001011111000101010
32121222122110020112210000
422303203110023320222
544131214303011011
61325042154403430
7104435014443201
oct12634324137052
92558573215700
10742548094506
11266a0504a869
12bbab1a30576
13550393ba91a
1427d22082238
15144ae61a356
hexace350be2a

742548094506 has 20 divisors (see below), whose sum is σ = 1663857767682. Its totient is φ = 247516031448.

The previous prime is 742548094501. The next prime is 742548094507. The reversal of 742548094506 is 605490845247.

742548094506 is a `hidden beast` number, since 7 + 4 + 2 + 5 + 48 + 0 + 94 + 506 = 666.

742548094506 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 only one way, i.e., 638706254481 + 103841840025 = 799191^2 + 322245^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (742548094501) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2291814945 + ... + 2291815268.

Almost surely, 2742548094506 is an apocalyptic number.

742548094506 is an abundant number, since it is smaller than the sum of its proper divisors (921309673176).

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

742548094506 is a wasteful number, since it uses less digits than its factorization.

742548094506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583630227 (or 4583630218 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 742548094506 in words is "seven hundred forty-two billion, five hundred forty-eight million, ninety-four thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 4583630213 9167260426 13750890639 27501781278 41252671917 82505343834 123758015751 247516031502 371274047253 742548094506