Search a number
-
+
12795230304 = 2532293151631
BaseRepresentation
bin10111110101010011…
…11011100001100000
31020000201111001020200
423322221323201200
5202201034332204
65513354105200
7632035443303
oct137251734140
936021431220
1012795230304
1154766349aa
12259111b200
13128bb376bc
148954a4b3a
154ed4a4539
hex2faa7b860

12795230304 has 72 divisors (see below), whose sum is σ = 36510862752. Its totient is φ = 4250492160.

The previous prime is 12795230243. The next prime is 12795230333. The reversal of 12795230304 is 40303259721.

12795230304 is a `hidden beast` number, since 1 + 279 + 52 + 30 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8569 + ... + 160199.

It is an arithmetic number, because the mean of its divisors is an integer number (507095316).

Almost surely, 212795230304 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 12795230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255431376).

12795230304 is an abundant number, since it is smaller than the sum of its proper divisors (23715632448).

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

12795230304 is a wasteful number, since it uses less digits than its factorization.

12795230304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151940 (or 151929 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12795230304 in words is "twelve billion, seven hundred ninety-five million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 42192 84384 151631 303262 454893 606524 909786 1213048 1364679 1819572 2426096 2729358 3639144 4852192 5458716 7278288 10917432 14556576 21834864 43669728 44427883 88855766 133283649 177711532 266567298 355423064 399850947 533134596 710846128 799701894 1066269192 1421692256 1599403788 2132538384 3198807576 4265076768 6397615152 12795230304