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23354540055 = 3457112332561
BaseRepresentation
bin10101110000000010…
…100000000000010111
32020021121200120010000
4111300002200000113
5340312230240210
614421240502343
71454514213030
oct256002400027
966247616100
1023354540055
1199a5035680
12463947a9b3
132282674992
1411b7a1ba87
1591a4e3ac0
hex5700a0017

23354540055 has 160 divisors (see below), whose sum is σ = 54466587648. Its totient is φ = 9283507200.

The previous prime is 23354540051. The next prime is 23354540059. The reversal of 23354540055 is 55004545332.

23354540055 is a `hidden beast` number, since 23 + 3 + 545 + 40 + 0 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (23354540051) and next prime (23354540059).

It is not a de Polignac number, because 23354540055 - 22 = 23354540051 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23354540051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 700975 + ... + 733535.

Almost surely, 223354540055 is an apocalyptic number.

23354540055 is an abundant number, since it is smaller than the sum of its proper divisors (31112047593).

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

23354540055 is a wasteful number, since it uses less digits than its factorization.

23354540055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32619 (or 32610 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 23354540055 in words is "twenty-three billion, three hundred fifty-four million, five hundred forty thousand, fifty-five".

Divisors: 1 3 5 7 9 11 15 21 23 27 33 35 45 55 63 69 77 81 99 105 115 135 161 165 189 207 231 253 297 315 345 385 405 483 495 567 621 693 759 805 891 945 1035 1155 1265 1449 1485 1771 1863 2079 2277 2415 2835 3105 3465 3795 4347 4455 5313 6237 6831 7245 8855 9315 10395 11385 13041 15939 20493 21735 26565 31185 32561 34155 47817 65205 79695 97683 102465 143451 162805 227927 239085 293049 358171 488415 683781 717255 748903 879147 1074513 1139635 1465245 1790855 2051343 2246709 2507197 2637441 3223539 3418905 3744515 4395735 5242321 5372565 6154029 6740127 7521591 8237933 9670617 10256715 11233545 12535985 13187205 15726963 16117695 18462087 20220381 22564773 24713799 26211605 29011851 30770145 33700635 37607955 41189665 47180889 48353085 57665531 60661143 67694319 74141397 78634815 92310435 101101905 112823865 123568995 141542667 145059255 172996593 203082957 222424191 235904445 288327655 303305715 338471595 370706985 424628001 518989779 667272573 707713335 864982965 1015414785 1112120955 1556969337 2123140005 2594948895 3336362865 4670908011 7784846685 23354540055