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12286755448 = 2311892336733
BaseRepresentation
bin10110111000101100…
…10000001001111000
31011201021200211212121
423130112100021320
5200130402133243
65351111451024
7613322461312
oct133426201170
934637624777
1012286755448
11523560a250
12246a986a74
13120a6a5cc6
14847b447b2
154bda151ed
hex2dc590278

12286755448 has 64 divisors (see below), whose sum is σ = 25527247200. Its totient is φ = 5497620480.

The previous prime is 12286755431. The next prime is 12286755461. The reversal of 12286755448 is 84455768221.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12286755395 and 12286755404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821490 + ... + 1828222.

Almost surely, 212286755448 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 12286755448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763623600).

12286755448 is an abundant number, since it is smaller than the sum of its proper divisors (13240491752).

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

12286755448 is a wasteful number, since it uses less digits than its factorization.

12286755448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7068 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 52.

The spelling of 12286755448 in words is "twelve billion, two hundred eighty-six million, seven hundred fifty-five thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 89 178 233 356 466 712 932 979 1864 1958 2563 3916 5126 6733 7832 10252 13466 20504 20737 26932 41474 53864 74063 82948 148126 165896 228107 296252 456214 592504 599237 912428 1198474 1568789 1824856 2396948 3137578 4793896 6275156 6591607 12550312 13183214 17256679 26366428 34513358 52732856 69026716 138053432 139622221 279244442 558488884 1116977768 1535844431 3071688862 6143377724 12286755448