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106061050550511 = 32731338303140423
BaseRepresentation
bin11000000111011001000011…
…001111100001100011101111
3111220112100002222020101022100
4120013121003033201203233
5102400201012420104021
61013323435102550143
731224441463601550
oct3007310317414357
9456470088211270
10106061050550511
113088126a036851
12ba8b413298353
13472468b78bc34
141c2954cc00327
15c3dd58324626
hex6076433e18ef

106061050550511 has 48 divisors (see below), whose sum is σ = 175650122059776. Its totient is φ = 60410676763008.

The previous prime is 106061050550447. The next prime is 106061050550519. The reversal of 106061050550511 is 115055050160601.

It is a happy number.

106061050550511 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 1 + 0 + 50 + 550 + 51 + 1 = 666.

It is not a de Polignac number, because 106061050550511 - 26 = 106061050550447 is a prime.

It is a super-2 number, since 2×1060610505505112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106061050550519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755226646 + ... + 755367068.

It is an arithmetic number, because the mean of its divisors is an integer number (3659377542912).

Almost surely, 2106061050550511 is an apocalyptic number.

106061050550511 is a deficient number, since it is larger than the sum of its proper divisors (69589071509265).

106061050550511 is a wasteful number, since it uses less digits than its factorization.

106061050550511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179052 (or 179049 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 106061050550511 in words is "one hundred six trillion, sixty-one billion, fifty million, five hundred fifty thousand, five hundred eleven".

Divisors: 1 3 7 9 21 63 313 939 2191 2817 6573 19719 38303 114909 140423 268121 344727 421269 804363 982961 1263807 2413089 2948883 8846649 11988839 35966517 43952399 83921873 107899551 131857197 251765619 307666793 395571591 755296857 923000379 2769001137 5378622169 16135866507 37650355183 48407599521 112951065549 338853196647 1683508738897 5050526216691 11784561172279 15151578650073 35353683516837 106061050550511