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11628827225781 = 3191259971916673
BaseRepresentation
bin1010100100111000110000…
…0111011010111010110101
31112011201000222000112101120
42221032030013122322311
53011011314232211111
640422113125214153
72310104115334353
oct251161407327265
945151028015346
1011628827225781
113783837895947
1213798b2861359
136647944954bc
142c2ba41c07d3
1515275c1e2406
hexa938c1daeb5

11628827225781 has 32 divisors (see below), whose sum is σ = 16336785024000. Its totient is φ = 7337493646848.

The previous prime is 11628827225731. The next prime is 11628827225803. The reversal of 11628827225781 is 18752272882611.

It is not a de Polignac number, because 11628827225781 - 215 = 11628827193013 is a prime.

It is a super-2 number, since 2×116288272257812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11628827225731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697456261 + ... + 697472933.

It is an arithmetic number, because the mean of its divisors is an integer number (510524532000).

Almost surely, 211628827225781 is an apocalyptic number.

It is an amenable number.

11628827225781 is a deficient number, since it is larger than the sum of its proper divisors (4707957798219).

11628827225781 is a wasteful number, since it uses less digits than its factorization.

11628827225781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27673.

The product of its digits is 12042240, while the sum is 60.

The spelling of 11628827225781 in words is "eleven trillion, six hundred twenty-eight billion, eight hundred twenty-seven million, two hundred twenty-five thousand, seven hundred eighty-one".

Divisors: 1 3 19 57 1259 3777 9719 16673 23921 29157 50019 71763 184661 316787 553983 950361 12236221 20991307 36708663 62973921 162044887 232488199 398834833 486134661 697464597 1196504499 3078852853 9236558559 204014512733 612043538199 3876275741927 11628827225781