Search a number
-
+
10618400487904 = 2511149920124023
BaseRepresentation
bin1001101010000100100111…
…1111010011100111100000
31101121002221120211221110121
42122201021333103213200
52342432441011103104
634330005325410024
72144103601640536
oct232411177234740
941532846757417
1010618400487904
113424269288510
121235b00a09914
135c0406c989a1
14289d0d090156
151363203c7254
hex9a849fd39e0

10618400487904 has 48 divisors (see below), whose sum is σ = 22820643216000. Its totient is φ = 4823325592960.

The previous prime is 10618400487841. The next prime is 10618400487911. The reversal of 10618400487904 is 40978400481601.

10618400487904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106184004879042 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9534364 + ... + 10589659.

It is an arithmetic number, because the mean of its divisors is an integer number (475430067000).

Almost surely, 210618400487904 is an apocalyptic number.

It is an amenable number.

10618400487904 is an abundant number, since it is smaller than the sum of its proper divisors (12202242728096).

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

10618400487904 is a wasteful number, since it uses less digits than its factorization.

10618400487904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20125543 (or 20125535 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The spelling of 10618400487904 in words is "ten trillion, six hundred eighteen billion, four hundred million, four hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1499 2998 5996 11992 16489 23984 32978 47968 65956 131912 263824 527648 20124023 40248046 80496092 160992184 221364253 321984368 442728506 643968736 885457012 1770914024 3541828048 7083656096 30165910477 60331820954 120663641908 241327283816 331825015247 482654567632 663650030494 965309135264 1327300060988 2654600121976 5309200243952 10618400487904