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11457269359248 = 2434113994161389
BaseRepresentation
bin1010011010111001101001…
…1110000110001010010000
31111120022012210121221010210
42212232122132012022100
53000203441423443443
640211221420524120
72261521546461306
oct246563236061220
944508183557123
1011457269359248
113718000954579
1213505b43b0640
136515538682cb
142b876b6a0276
1514d06ac1bc33
hexa6b9a786290

11457269359248 has 80 divisors (see below), whose sum is σ = 30341526768000. Its totient is φ = 3723277071360.

The previous prime is 11457269359231. The next prime is 11457269359253. The reversal of 11457269359248 is 84295396275411.

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, 672538 + ... + 4833926.

It is an arithmetic number, because the mean of its divisors is an integer number (379269084600).

Almost surely, 211457269359248 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 11457269359248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15170763384000).

11457269359248 is an abundant number, since it is smaller than the sum of its proper divisors (18884257408752).

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

11457269359248 is a wasteful number, since it uses less digits than its factorization.

11457269359248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162840 (or 4162834 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 66.

The spelling of 11457269359248 in words is "eleven trillion, four hundred fifty-seven billion, two hundred sixty-nine million, three hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1399 1968 2798 4197 5596 8394 11192 16788 22384 33576 57359 67152 114718 172077 229436 344154 458872 688308 917744 1376616 2753232 4161389 8322778 12484167 16645556 24968334 33291112 49936668 66582224 99873336 170616949 199746672 341233898 511850847 682467796 1023701694 1364935592 2047403388 2729871184 4094806776 5821783211 8189613552 11643566422 17465349633 23287132844 34930699266 46574265688 69861398532 93148531376 139722797064 238693111651 279445594128 477386223302 716079334953 954772446604 1432158669906 1909544893208 2864317339812 3819089786416 5728634679624 11457269359248