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10040003613 = 323730150161
BaseRepresentation
bin10010101100110111…
…00100110000011101
3221220201001000202200
421112123210300131
5131030220103423
64340132042113
7503541423363
oct112633446035
927821030680
1010040003613
114292358352
121b42463339
13c40085853
146b35b7633
153db660d43
hex2566e4c1d

10040003613 has 12 divisors (see below), whose sum is σ = 14894180028. Its totient is φ = 6512434560.

The previous prime is 10040003593. The next prime is 10040003671. The reversal of 10040003613 is 31630004001.

10040003613 is a `hidden beast` number, since 10 + 0 + 40 + 0 + 0 + 3 + 613 = 666.

10040003613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6597013284 + 3442990329 = 81222^2 + 58677^2 .

It is not a de Polignac number, because 10040003613 - 26 = 10040003549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040003513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15074748 + ... + 15075413.

It is an arithmetic number, because the mean of its divisors is an integer number (1241181669).

Almost surely, 210040003613 is an apocalyptic number.

It is an amenable number.

10040003613 is a deficient number, since it is larger than the sum of its proper divisors (4854176415).

10040003613 is a wasteful number, since it uses less digits than its factorization.

10040003613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30150204 (or 30150201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10040003613 its reverse (31630004001), we get a palindrome (41670007614).

The spelling of 10040003613 in words is "ten billion, forty million, three thousand, six hundred thirteen".

Divisors: 1 3 9 37 111 333 30150161 90450483 271351449 1115555957 3346667871 10040003613