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10558356493971 = 31113177727187361
BaseRepresentation
bin1001100110100100111100…
…0101101001011010010011
31101101100222000111000101110
42121221033011221122103
52340442003230301341
634242235250304403
72136546626261616
oct231511705513223
941340860430343
1010558356493971
113400856a92130
121226344288103
135b78583a70b0
1428705482817d
151349a8d84216
hex99a4f169693

10558356493971 has 64 divisors (see below), whose sum is σ = 17514204051456. Its totient is φ = 5558566502400.

The previous prime is 10558356493969. The next prime is 10558356493987. The reversal of 10558356493971 is 17939465385501.

10558356493971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10558356493971 - 21 = 10558356493969 is a prime.

It is a super-2 number, since 2×105583564939712 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10558356493901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56259331 + ... + 56446691.

It is an arithmetic number, because the mean of its divisors is an integer number (273659438304).

Almost surely, 210558356493971 is an apocalyptic number.

10558356493971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10558356493971 is a deficient number, since it is larger than the sum of its proper divisors (6955847557485).

10558356493971 is a wasteful number, since it uses less digits than its factorization.

10558356493971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195132.

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 10558356493971 in words is "ten trillion, five hundred fifty-eight billion, three hundred fifty-six million, four hundred ninety-three thousand, nine hundred seventy-one".

Divisors: 1 3 11 13 17 33 39 51 143 187 221 429 561 663 2431 7293 7727 23181 84997 100451 131359 187361 254991 301353 394077 562083 1104961 1444949 1707667 2060971 2435693 3185137 3314883 4334847 5123001 6182913 7307079 9555411 18784337 26792623 35036507 41406781 56353011 80377869 105109521 124220343 455474591 1366423773 1447738447 4343215341 15925122917 18820599811 24611553599 47775368751 56461799433 73834660797 207026597921 270727089589 319950196787 621079793763 812181268767 959850590361 3519452164657 10558356493971