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11376042405 = 3571317490241
BaseRepresentation
bin10101001100001000…
…01010000110100101
31002100211000211102220
422212010022012211
5141244231324110
65120500022553
7551623523250
oct124604120645
932324024386
1011376042405
114908530042
122255991a59
1310c3acb350
1479cbda097
15468abe370
hex2a610a1a5

11376042405 has 64 divisors (see below), whose sum is σ = 23719868928. Its totient is φ = 4518051840.

The previous prime is 11376042401. The next prime is 11376042413. The reversal of 11376042405 is 50424067311.

It is not a de Polignac number, because 11376042405 - 22 = 11376042401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11376042401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221916 + ... + 268325.

It is an arithmetic number, because the mean of its divisors is an integer number (370622952).

Almost surely, 211376042405 is an apocalyptic number.

11376042405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11376042405 is an abundant number, since it is smaller than the sum of its proper divisors (12343826523).

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

11376042405 is a wasteful number, since it uses less digits than its factorization.

11376042405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490286.

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 11376042405 in words is "eleven billion, three hundred seventy-six million, forty-two thousand, four hundred five".

Divisors: 1 3 5 7 13 15 17 21 35 39 51 65 85 91 105 119 195 221 255 273 357 455 595 663 1105 1365 1547 1785 3315 4641 7735 23205 490241 1470723 2451205 3431687 6373133 7353615 8334097 10295061 17158435 19119399 25002291 31865665 41670485 44611931 51475305 58338679 95596995 108343261 125011455 133835793 175016037 223059655 291693395 325029783 541716305 669178965 758402827 875080185 1625148915 2275208481 3792014135 11376042405