Search a number
-
+
4128507923274 = 233710921978633
BaseRepresentation
bin111100000100111110001…
…111111000101101001010
3112121200101211000121002000
4330010332033320231022
51020120141012021044
612440335500451430
7604163163222420
oct74047617705512
915550354017060
104128507923274
111351988102439
12568170b49b76
1323c416823517
14103b6c5a9110
15725d2d3bd69
hex3c13e3f8b4a

4128507923274 has 32 divisors (see below), whose sum is σ = 10485099488640. Its totient is φ = 1179573692256.

The previous prime is 4128507923263. The next prime is 4128507923297. The reversal of 4128507923274 is 4723297058214.

4128507923274 is a `hidden beast` number, since 4 + 1 + 28 + 507 + 92 + 3 + 27 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4128507923274.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5460988939 + ... + 5460989694.

It is an arithmetic number, because the mean of its divisors is an integer number (327659359020).

Almost surely, 24128507923274 is an apocalyptic number.

4128507923274 is an abundant number, since it is smaller than the sum of its proper divisors (6356591565366).

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

4128507923274 is a wasteful number, since it uses less digits than its factorization.

4128507923274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10921978651 (or 10921978645 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4128507923274 in words is "four trillion, one hundred twenty-eight billion, five hundred seven million, nine hundred twenty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10921978633 21843957266 32765935899 65531871798 76453850431 98297807697 152907700862 196595615394 229361551293 294893423091 458723102586 589786846182 688084653879 1376169307758 2064253961637 4128507923274