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12295725728 = 25112131714369
BaseRepresentation
bin10110111001110000…
…11110001010100000
31011201220120120210012
423130320132022200
5200140201210403
65352032024052
7613461641606
oct133470361240
934656516705
1012295725728
11523a686800
122471992028
13120c4c6c70
14848ddb876
154be6d7ed8
hex2dce1e2a0

12295725728 has 144 divisors (see below), whose sum is σ = 30342369960. Its totient is φ = 4855234560.

The previous prime is 12295725719. The next prime is 12295725737. The reversal of 12295725728 is 82752759221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12295725719) and next prime (12295725737).

It can be written as a sum of positive squares in 4 ways, for example, as 10537433104 + 1758292624 = 102652^2 + 41932^2 .

It is a super-2 number, since 2×122957257282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848528 + ... + 862896.

Almost surely, 212295725728 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 12295725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171184980).

12295725728 is an abundant number, since it is smaller than the sum of its proper divisors (18046644232).

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

12295725728 is a wasteful number, since it uses less digits than its factorization.

12295725728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431 (or 14412 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 50.

The spelling of 12295725728 in words is "twelve billion, two hundred ninety-five million, seven hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 121 136 143 176 187 208 221 242 272 286 352 374 416 442 484 544 572 748 884 968 1144 1496 1573 1768 1936 2057 2288 2431 2992 3146 3536 3872 4114 4576 4862 5984 6292 7072 8228 9724 12584 14369 16456 19448 25168 26741 28738 32912 38896 50336 53482 57476 65824 77792 106964 114952 158059 186797 213928 229904 244273 316118 373594 427856 459808 488546 632236 747188 855712 977092 1264472 1494376 1738649 1954184 2054767 2528944 2687003 2988752 3175549 3477298 3908368 4109534 5057888 5374006 5977504 6351098 6954596 7816736 8219068 10748012 12702196 13909192 16438136 21496024 22602437 25404392 27818384 29557033 32876272 34931039 42992048 45204874 50808784 55636768 59114066 65752544 69862078 85984096 90409748 101617568 118228132 139724156 180819496 236456264 279448312 361638992 384241429 472912528 558896624 723277984 768482858 945825056 1117793248 1536965716 3073931432 6147862864 12295725728