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11140653645 = 3251122506371
BaseRepresentation
bin10100110000000100…
…01110001001001101
31001202102002211202200
422120002032021031
5140304001404040
65041250512113
7543034664532
oct123002161115
931672084680
1011140653645
1147a7676a80
1221aab95639
131087103364
14779844d89
154530c4630
hex29808e24d

11140653645 has 24 divisors (see below), whose sum is σ = 21065964192. Its totient is φ = 5401528800.

The previous prime is 11140653631. The next prime is 11140653649. The reversal of 11140653645 is 54635604111.

11140653645 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 6 + 5 + 3 + 645 = 666.

It is not a de Polignac number, because 11140653645 - 211 = 11140651597 is a prime.

It is a super-3 number, since 3×111406536453 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140653649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11252691 + ... + 11253680.

It is an arithmetic number, because the mean of its divisors is an integer number (877748508).

Almost surely, 211140653645 is an apocalyptic number.

11140653645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11140653645 is a deficient number, since it is larger than the sum of its proper divisors (9925310547).

11140653645 is a wasteful number, since it uses less digits than its factorization.

11140653645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22506393 (or 22506390 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11140653645 in words is "eleven billion, one hundred forty million, six hundred fifty-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 22506371 67519113 112531855 202557339 247570081 337595565 742710243 1012786695 1237850405 2228130729 3713551215 11140653645