Search a number
-
+
4274493685632 = 273241793593191
BaseRepresentation
bin111110001100111011101…
…011010111111110000000
3120010122012210222201010100
4332030323223113332000
51030013130340420012
613031401510202400
7620551636561062
oct76147353277600
916118183881110
104274493685632
1113a8891282415
12590513353400
13250110537921
1410ac5ab7b732
15762c92d28dc
hex3e33bad7f80

4274493685632 has 384 divisors, whose sum is σ = 12799358208000. Its totient is φ = 1368231321600.

The previous prime is 4274493685603. The next prime is 4274493685729. The reversal of 4274493685632 is 2365863944724.

It is a happy number.

4274493685632 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 4 + 9 + 3 + 68 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4274493685632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1339545157 + ... + 1339548347.

It is an arithmetic number, because the mean of its divisors is an integer number (33331662000).

Almost surely, 24274493685632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4274493685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399679104000).

4274493685632 is an abundant number, since it is smaller than the sum of its proper divisors (8524864522368).

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

4274493685632 is a wasteful number, since it uses less digits than its factorization.

4274493685632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3675 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 4274493685632 in words is "four trillion, two hundred seventy-four billion, four hundred ninety-three million, six hundred eighty-five thousand, six hundred thirty-two".