Search a number
-
+
12875192896 = 261761419463
BaseRepresentation
bin10111111110110101…
…11101101001000000
31020020021221120022011
423333122331221000
5202332022133041
65525332022304
7634026222346
oct137732755100
936207846264
1012875192896
11550778aa95
1225b3a61994
1312a2583a47
148a1d5b996
155054ebe81
hex2ff6bda40

12875192896 has 112 divisors (see below), whose sum is σ = 27620732160. Its totient is φ = 5932523520.

The previous prime is 12875192881. The next prime is 12875192899. The reversal of 12875192896 is 69829157821.

Its product of digits (4354560) is a multiple of the sum of its prime factors (972).

It is a self number, because there is not a number n which added to its sum of digits gives 12875192896.

It is not an unprimeable number, because it can be changed into a prime (12875192899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27807961 + ... + 27808423.

It is an arithmetic number, because the mean of its divisors is an integer number (246613680).

Almost surely, 212875192896 is an apocalyptic number.

12875192896 is a gapful number since it is divisible by the number (16) 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 12875192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13810366080).

12875192896 is an abundant number, since it is smaller than the sum of its proper divisors (14745539264).

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

12875192896 is a wasteful number, since it uses less digits than its factorization.

12875192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 962 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 58.

The spelling of 12875192896 in words is "twelve billion, eight hundred seventy-five million, one hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 136 244 272 419 463 488 544 838 926 976 1037 1088 1676 1852 1952 2074 3352 3704 3904 4148 6704 7123 7408 7871 8296 13408 14246 14816 15742 16592 25559 26816 28243 28492 29632 31484 33184 51118 56486 56984 62968 66368 102236 112972 113968 125936 193997 204472 225944 227936 251872 387994 408944 434503 451888 455872 480131 503744 775988 817888 869006 903776 960262 1551976 1635776 1738012 1807552 1920524 3103952 3297949 3476024 3841048 6207904 6595898 6952048 7682096 11833817 12415808 13191796 13904096 15364192 23667634 26383592 27808192 30728384 47335268 52767184 94670536 105534368 189341072 201174889 211068736 378682144 402349778 757364288 804699556 1609399112 3218798224 6437596448 12875192896