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10838039076 = 2232301056641
BaseRepresentation
bin10100001011111111…
…10101101000100100
31000222022200102121200
422011333311220210
5134144014222301
64551240442500
7532401545364
oct120577655044
930868612550
1010838039076
114661877197
122125779430
1310394cb497
1474b5909a4
1543674ac86
hex285ff5a24

10838039076 has 18 divisors (see below), whose sum is σ = 27396154422. Its totient is φ = 3612679680.

The previous prime is 10838039029. The next prime is 10838039081. The reversal of 10838039076 is 67093083801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6425625600 + 4412413476 = 80160^2 + 66426^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150528285 + ... + 150528356.

It is an arithmetic number, because the mean of its divisors is an integer number (1522008579).

Almost surely, 210838039076 is an apocalyptic number.

It is an amenable number.

10838039076 is an abundant number, since it is smaller than the sum of its proper divisors (16558115346).

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

10838039076 is a wasteful number, since it uses less digits than its factorization.

10838039076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301056651 (or 301056646 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 108380 and 39076, that added together give a square (147456 = 3842).

The spelling of 10838039076 in words is "ten billion, eight hundred thirty-eight million, thirty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 301056641 602113282 903169923 1204226564 1806339846 2709509769 3612679692 5419019538 10838039076