Search a number
-
+
742254153608 = 23112276912
BaseRepresentation
bin10101100110100011100…
…10111000111110001000
32121221212222010210200002
422303101302320332020
544130114030403413
61324553054302132
7104424515130512
oct12632162707610
92557788123602
10742254153608
11266874134700
12bba2b4b7948
1354cc05319b6
1427cd5008bb2
1514493906958
hexacd1cb8f88

742254153608 has 36 divisors (see below), whose sum is σ = 1529804250135. Its totient is φ = 337376067600.

The previous prime is 742254153607. The next prime is 742254153623. The reversal of 742254153608 is 806351452247.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

742254153608 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., 371127076804 + 371127076804 = 609202^2 + 609202^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=609202.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742254153607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26791043 + ... + 26818733.

Almost surely, 2742254153608 is an apocalyptic number.

It is an amenable number.

742254153608 is an abundant number, since it is smaller than the sum of its proper divisors (787550096527).

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

742254153608 is an frugal number, since it uses more digits than its factorization.

742254153608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55410 (or 27704 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 47.

The spelling of 742254153608 in words is "seven hundred forty-two billion, two hundred fifty-four million, one hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 27691 55382 110764 221528 304601 609202 1218404 2436808 3350611 6701222 13402444 26804888 766791481 1533582962 3067165924 6134331848 8434706291 16869412582 33738825164 67477650328 92781769201 185563538402 371127076804 742254153608