Search a number
-
+
742907881505 = 5710920900489
BaseRepresentation
bin10101100111110001100…
…00101010100000100001
32122000120112020121202102
422303320300222200201
544132433404202010
61325142010100145
7104446643541656
oct12637060524041
92560515217672
10742907881505
1126707a14a099
12bbb9241a655
1355095abc73a
1427d57b79c2d
15144d0ed8ba5
hexacf8c2a821

742907881505 has 8 divisors (see below), whose sum is σ = 891614903400. Its totient is φ = 594242674816.

The previous prime is 742907881493. The next prime is 742907881543. The reversal of 742907881505 is 505188709247.

It can be written as a sum of positive squares in 4 ways, for example, as 27652031521 + 715255849984 = 166289^2 + 845728^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-742907881505 is a prime.

It is a super-4 number, since 4×7429078815054 (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10414700 + ... + 10485789.

It is an arithmetic number, because the mean of its divisors is an integer number (111451862925).

Almost surely, 2742907881505 is an apocalyptic number.

It is an amenable number.

742907881505 is a deficient number, since it is larger than the sum of its proper divisors (148707021895).

742907881505 is a wasteful number, since it uses less digits than its factorization.

742907881505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20907603.

The product of its (nonzero) digits is 5644800, while the sum is 56.

The spelling of 742907881505 in words is "seven hundred forty-two billion, nine hundred seven million, eight hundred eighty-one thousand, five hundred five".

Divisors: 1 5 7109 35545 20900489 104502445 148581576301 742907881505