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11454148495504 = 241113171929659811
BaseRepresentation
bin1010011010101110000001…
…1100111100100010010000
31111120000011022011121220201
42212223200130330202100
53000131044003324004
640205544013544544
72261351322536221
oct246534034744220
944500138147821
1011454148495504
11371674a242440
12134ba831a5154
13651177116980
142b8552dd5248
1514ce36c516a4
hexa6ae073c890

11454148495504 has 640 divisors, whose sum is σ = 30143570688000. Its totient is φ = 4126032691200.

The previous prime is 11454148495469. The next prime is 11454148495507. The reversal of 11454148495504 is 40559484145411.

It is not an unprimeable number, because it can be changed into a prime (11454148495507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14123487259 + ... + 14123488069.

It is an arithmetic number, because the mean of its divisors is an integer number (47099329200).

Almost surely, 211454148495504 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 11454148495504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071785344000).

11454148495504 is an abundant number, since it is smaller than the sum of its proper divisors (18689422192496).

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

11454148495504 is a wasteful number, since it uses less digits than its factorization.

11454148495504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 55.

The spelling of 11454148495504 in words is "eleven trillion, four hundred fifty-four billion, one hundred forty-eight million, four hundred ninety-five thousand, five hundred four".