Search a number
-
+
742328526901 = 13591247977557
BaseRepresentation
bin10101100110101100011…
…10100110100000110101
32121222002011002100122111
422303112032212200311
544130242100330101
61325004312331021
7104426410240333
oct12632616464065
92558064070574
10742328526901
11266902112435
12bba503a3a71
1355002a71c70
1427d00c48b53
151449a1e8251
hexacd63a6835

742328526901 has 16 divisors (see below), whose sum is σ = 813056025600. Its totient is φ = 673549662528.

The previous prime is 742328526851. The next prime is 742328526941. The reversal of 742328526901 is 109625823247.

It is a happy number.

742328526901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 742328526901 - 229 = 741791655989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742328526941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9532615 + ... + 9610171.

It is an arithmetic number, because the mean of its divisors is an integer number (50816001600).

It is a 1-persistent number, because it is pandigital, but 2⋅742328526901 = 1484657053802 is not.

Almost surely, 2742328526901 is an apocalyptic number.

It is an amenable number.

742328526901 is a deficient number, since it is larger than the sum of its proper divisors (70727498699).

742328526901 is a wasteful number, since it uses less digits than its factorization.

742328526901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90108.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 742328526901 in words is "seven hundred forty-two billion, three hundred twenty-eight million, five hundred twenty-six thousand, nine hundred one".

Divisors: 1 13 59 767 12479 77557 162227 736261 1008241 4575863 9571393 59486219 967833803 12581839439 57102194377 742328526901