Search a number
-
+
10541704478055 = 351713726533373
BaseRepresentation
bin1001100101100110111010…
…0011001111110101100111
31101022202222111202221220020
42121121232203033311213
52340203402321244210
634230443040010223
72135420156420352
oct231315643176547
941282874687806
1010541704478055
1133a47913a1103
121223077600973
135b610351243a
1428631504d299
15134331ee8770
hex9966e8cfd67

10541704478055 has 96 divisors (see below), whose sum is σ = 18023087767104. Its totient is φ = 5243298791424.

The previous prime is 10541704478051. The next prime is 10541704478057. The reversal of 10541704478055 is 55087440714501.

It is not a de Polignac number, because 10541704478055 - 22 = 10541704478051 is a prime.

It is a super-2 number, since 2×105417044780552 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 10541704477989 and 10541704478007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541704478051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3125318349 + ... + 3125321721.

It is an arithmetic number, because the mean of its divisors is an integer number (187740497574).

Almost surely, 210541704478055 is an apocalyptic number.

10541704478055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10541704478055 is a deficient number, since it is larger than the sum of its proper divisors (7481383289049).

10541704478055 is a wasteful number, since it uses less digits than its factorization.

10541704478055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 51.

The spelling of 10541704478055 in words is "ten trillion, five hundred forty-one billion, seven hundred four million, four hundred seventy-eight thousand, fifty-five".

Divisors: 1 3 5 15 17 51 85 137 255 411 653 685 1959 2055 2329 3265 3373 6987 9795 10119 11101 11645 16865 18769 33303 34935 50595 55505 56307 57341 89461 93845 166515 172023 268383 281535 286705 319073 447305 462101 860115 957219 1341915 1386303 1520837 1595365 2202569 2310505 4562511 4786095 6607707 6931515 7604185 7855717 11012845 12256157 22812555 23567151 33038535 36768471 37443673 39278585 61280785 63307837 112331019 117835755 183842355 187218365 189923511 208354669 301751953 316539185 561655095 625064007 905255859 949617555 1041773345 1076233229 1508759765 3125320035 3228699687 4526279295 5129783201 5381166145 15389349603 16143498435 25648916005 41340017561 76946748015 124020052683 206700087805 620100263415 702780298537 2108340895611 3513901492685 10541704478055