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12506271648 = 2531310021051
BaseRepresentation
bin10111010010110111…
…01000111110100000
31012021120202102111020
423221123220332200
5201103101143043
65424552445440
7621626361243
oct135133507640
935246672436
1012506271648
115338511aa2
1225103a9880
131244004450
14868d6725a
154d2e26e83
hex2e96e8fa0

12506271648 has 48 divisors (see below), whose sum is σ = 35354271456. Its totient is φ = 3848083200.

The previous prime is 12506271647. The next prime is 12506271671. The reversal of 12506271648 is 84617260521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12506271647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5009278 + ... + 5011773.

It is an arithmetic number, because the mean of its divisors is an integer number (736547322).

Almost surely, 212506271648 is an apocalyptic number.

It is an amenable number.

12506271648 is an abundant number, since it is smaller than the sum of its proper divisors (22847999808).

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

12506271648 is a wasteful number, since it uses less digits than its factorization.

12506271648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021077 (or 10021069 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 12506271648 in words is "twelve billion, five hundred six million, two hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 10021051 20042102 30063153 40084204 60126306 80168408 120252612 130273663 160336816 240505224 260547326 320673632 390820989 481010448 521094652 781641978 962020896 1042189304 1563283956 2084378608 3126567912 4168757216 6253135824 12506271648