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11455141005 = 3257119533469
BaseRepresentation
bin10101010101100011…
…11001010010001101
31002120022212110022200
422222301321102031
5141430004003010
65132403232113
7553604043360
oct125261712215
932508773280
1011455141005
114949145a90
122278378639
131107304359
147a950a0d7
154709e5cc0
hex2aac7948d

11455141005 has 96 divisors (see below), whose sum is σ = 24788125440. Its totient is φ = 4754211840.

The previous prime is 11455140997. The next prime is 11455141013. The reversal of 11455141005 is 50014155411.

11455141005 is a `hidden beast` number, since 1 + 1 + 4 + 551 + 4 + 100 + 5 = 666.

11455141005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11455140997) and next prime (11455141013).

It is not a de Polignac number, because 11455141005 - 23 = 11455140997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11455141005.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3300411 + ... + 3303879.

It is an arithmetic number, because the mean of its divisors is an integer number (258209640).

Almost surely, 211455141005 is an apocalyptic number.

11455141005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11455141005 is an abundant number, since it is smaller than the sum of its proper divisors (13332984435).

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

11455141005 is a wasteful number, since it uses less digits than its factorization.

11455141005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 11455141005 its reverse (50014155411), we get a palindrome (61469296416).

The spelling of 11455141005 in words is "eleven billion, four hundred fifty-five million, one hundred forty-one thousand, five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 953 1155 2859 3465 3469 4765 6671 8577 10407 10483 14295 17345 20013 24283 31221 31449 33355 38159 42885 52035 52415 60039 72849 73381 94347 100065 114477 121415 156105 157245 190795 218547 220143 267113 300195 343431 364245 366905 471735 572385 660429 801339 1092735 1100715 1335565 1717155 2404017 3302145 3305957 4006695 9917871 12020085 16529785 23141699 29753613 36365527 49589355 69425097 109096581 115708495 148768065 181827635 208275291 254558689 327289743 347125485 545482905 763676067 1041376455 1272793445 1636448715 2291028201 3818380335 11455141005