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40838764446 = 23210092248583
BaseRepresentation
bin100110000010001011…
…100001011110011110
310220102010100012000100
4212002023201132132
51132114210430241
630432220241530
72644010525124
oct460213413636
9126363305010
1040838764446
11163574661a7
127ab89a02a6
133b0aa8879c
141d95b47914
1510e04699b6
hex9822e179e

40838764446 has 24 divisors (see below), whose sum is σ = 88571723760. Its totient is φ = 13599423936.

The previous prime is 40838764429. The next prime is 40838764451. The reversal of 40838764446 is 64446783804.

40838764446 is a `hidden beast` number, since 40 + 83 + 87 + 6 + 4 + 446 = 666.

It is a super-3 number, since 3×408387644463 (a number of 33 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40838764392 and 40838764401.

It is a congruent number.

It is an unprimeable number.

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, 1106130 + ... + 1142453.

It is an arithmetic number, because the mean of its divisors is an integer number (3690488490).

Almost surely, 240838764446 is an apocalyptic number.

40838764446 is an abundant number, since it is smaller than the sum of its proper divisors (47732959314).

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

40838764446 is a wasteful number, since it uses less digits than its factorization.

40838764446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249600 (or 2249597 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 40838764446 in words is "forty billion, eight hundred thirty-eight million, seven hundred sixty-four thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 1009 2018 3027 6054 9081 18162 2248583 4497166 6745749 13491498 20237247 40474494 2268820247 4537640494 6806460741 13612921482 20419382223 40838764446