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11457857617921 = 1113294162166383
BaseRepresentation
bin1010011010111011110110…
…0010001000000000000001
31111120100201210112120100001
42212232331202020000001
53000211143022233141
640211400033200001
72261542251546211
oct246567542100001
944510653476301
1011457857617921
113718282a12a70
121350739400001
136516186b2870
142b87c586c241
1514d0a26baa31
hexa6bbd888001

11457857617921 has 32 divisors (see below), whose sum is σ = 13925695633920. Its totient is φ = 9283071302400.

The previous prime is 11457857617903. The next prime is 11457857617933. The reversal of 11457857617921 is 12971675875411.

It is a cyclic number.

It is not a de Polignac number, because 11457857617921 - 27 = 11457857617793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11457857657921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172569096 + ... + 172635478.

It is an arithmetic number, because the mean of its divisors is an integer number (435177988560).

Almost surely, 211457857617921 is an apocalyptic number.

11457857617921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11457857617921 is a deficient number, since it is larger than the sum of its proper divisors (2467838015999).

11457857617921 is a wasteful number, since it uses less digits than its factorization.

11457857617921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108057.

The product of its digits is 29635200, while the sum is 64.

The spelling of 11457857617921 in words is "eleven trillion, four hundred fifty-seven billion, eight hundred fifty-seven million, six hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 11 13 29 143 319 377 4147 41621 66383 457831 541073 730213 862979 1207009 1925107 5951803 9492769 13277099 15691117 21176177 25026391 172602287 275290301 2762926843 30392195273 35918048959 80124878447 395098538549 881373662917 1041623419811 11457857617921