Search a number
-
+
61100060511006 = 232111961266252083
BaseRepresentation
bin11011110010001111101110…
…11001110000101100011110
322000100002221021022120012100
431321013313121300230132
531002030410442323011
6333540551424545530
715604222313126046
oct1571076731605436
9260302837276170
1061100060511006
11185174323129a0
126a297267822a6
13281293205219a
141113389c72726
1570e545a07d56
hex3791f7670b1e

61100060511006 has 96 divisors (see below), whose sum is σ = 154511409386880. Its totient is φ = 17253134913600.

The previous prime is 61100060510981. The next prime is 61100060511031. The reversal of 61100060511006 is 60011506000116.

It is an interprime number because it is at equal distance from previous prime (61100060510981) and next prime (61100060511031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132896560 + ... + 133355523.

It is an arithmetic number, because the mean of its divisors is an integer number (1609493847780).

Almost surely, 261100060511006 is an apocalyptic number.

61100060511006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

61100060511006 is an abundant number, since it is smaller than the sum of its proper divisors (93411348875874).

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

61100060511006 is a wasteful number, since it uses less digits than its factorization.

61100060511006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266252182 (or 266252179 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 61100060511006 in words is "sixty-one trillion, one hundred billion, sixty million, five hundred eleven thousand, six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 61 66 99 114 122 171 183 198 209 342 366 418 549 627 671 1098 1159 1254 1342 1881 2013 2318 3477 3762 4026 6039 6954 10431 12078 12749 20862 25498 38247 76494 114741 229482 266252083 532504166 798756249 1597512498 2396268747 2928772913 4792537494 5058789577 5857545826 8786318739 10117579154 15176368731 16241377063 17572637478 26358956217 30352737462 32482754126 45529106193 48724131189 52717912434 55646685347 91058212386 97448262378 111293370694 146172393567 166940056041 178655147693 292344787134 308586164197 333880112082 357310295386 500820168123 535965443079 617172328394 925758492591 1001640336246 1071930886158 1607896329237 1851516985182 2777275477773 3215792658474 3394447806167 5554550955546 6788895612334 10183343418501 20366686837002 30550030255503 61100060511006