Search a number
-
+
742078363203 = 32235367639993
BaseRepresentation
bin10101100110001110101…
…00010011011001000011
32121221102201100201120100
422303013110103121003
544124234030110303
61324523414413443
7104420252004162
oct12630724233103
92557381321510
10742078363203
11266793987781
12bb9a0661283
1354c92ca2bc8
1427cb99293d9
15144832808a3
hexacc7513643

742078363203 has 24 divisors (see below), whose sum is σ = 1139598618912. Its totient is φ = 464280905088.

The previous prime is 742078363189. The next prime is 742078363211. The reversal of 742078363203 is 302363870247.

742078363203 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 7 + 8 + 3 + 632 + 0 + 3 = 666.

It is not a de Polignac number, because 742078363203 - 224 = 742061585987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (742078363703) 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 23 ways as a sum of consecutive naturals, for example, 33809026 + ... + 33830967.

It is an arithmetic number, because the mean of its divisors is an integer number (47483275788).

Almost surely, 2742078363203 is an apocalyptic number.

742078363203 is a deficient number, since it is larger than the sum of its proper divisors (397520255709).

742078363203 is a wasteful number, since it uses less digits than its factorization.

742078363203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67640075 (or 67640072 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 742078363203 in words is "seven hundred forty-two billion, seventy-eight million, three hundred sixty-three thousand, two hundred three".

Divisors: 1 3 9 23 53 69 159 207 477 1219 3657 10971 67639993 202919979 608759937 1555719839 3584919629 4667159517 10754758887 14001478551 32264276661 82453151467 247359454401 742078363203