Search a number
-
+
3975967296 = 26347109567
BaseRepresentation
bin1110110011111100…
…0111001001000000
3101021002111001210000
43230333013021000
531120321423141
61454310440000
7200346110250
oct35477071100
911232431700
103975967296
11176036a094
1292b663000
134b4958892
1429a099960
151840c95b6
hexecfc7240

3975967296 has 140 divisors (see below), whose sum is σ = 13469851648. Its totient is φ = 1135980288.

The previous prime is 3975967277. The next prime is 3975967297. The reversal of 3975967296 is 6927695793.

3975967296 is a `hidden beast` number, since 39 + 7 + 596 + 7 + 2 + 9 + 6 = 666.

3975967296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3975967297) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18496 + ... + 91071.

Almost surely, 23975967296 is an apocalyptic number.

3975967296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734925824).

3975967296 is an abundant number, since it is smaller than the sum of its proper divisors (9493884352).

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

3975967296 is a wasteful number, since it uses less digits than its factorization.

3975967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109598 (or 109579 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The square root of 3975967296 is about 63055.2717542316. The cubic root of 3975967296 is about 1584.2155354090.

The spelling of 3975967296 in words is "three billion, nine hundred seventy-five million, nine hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 109567 219134 328701 438268 657402 766969 876536 986103 1314804 1533938 1753072 1972206 2300907 2629608 2958309 3067876 3506144 3944412 4601814 5259216 5916618 6135752 6902721 7012288 7888824 8874927 9203628 10518432 11833236 12271504 13805442 15777648 17749854 18407256 20708163 21036864 23666472 24543008 27610884 31555296 35499708 36814512 41416326 47332944 49086016 55221768 62124489 63110592 70999416 73629024 82832652 94665888 110443536 124248978 141998832 147258048 165665304 189331776 220887072 248497956 283997664 331330608 441774144 496995912 567995328 662661216 993991824 1325322432 1987983648 3975967296