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11640555135 = 3251124095227
BaseRepresentation
bin10101101011101010…
…01100011001111111
31010001020202110200200
422311311030121333
5142314440231020
65203025254543
7561315041346
oct126565143177
933036673620
1011640555135
114a33876400
12230a494453
131136852661
147c5db2b5d
15481e1d590
hex2b5d4c67f

11640555135 has 72 divisors (see below), whose sum is σ = 22236461520. Its totient is φ = 5629029120.

The previous prime is 11640555127. The next prime is 11640555161. The reversal of 11640555135 is 53155504611.

11640555135 is a `hidden beast` number, since 1 + 1 + 640 + 5 + 5 + 5 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 11640555135 - 23 = 11640555127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11640555135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2224392 + ... + 2229618.

Almost surely, 211640555135 is an apocalyptic number.

11640555135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11640555135 is a deficient number, since it is larger than the sum of its proper divisors (10595906385).

11640555135 is a wasteful number, since it uses less digits than its factorization.

11640555135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 11640555135 in words is "eleven billion, six hundred forty million, five hundred fifty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 409 495 605 1089 1227 1815 2045 3681 4499 5227 5445 6135 13497 15681 18405 22495 26135 40491 47043 49489 57497 67485 78405 148467 172491 202455 235215 247445 287485 445401 517473 632467 742335 862455 1897401 2137843 2227005 2587365 3162335 5692203 6413529 9487005 10689215 19240587 23516273 28461015 32067645 70548819 96202935 117581365 211646457 258679003 352744095 776037009 1058232285 1293395015 2328111027 3880185045 11640555135