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15805045509136 = 2413458812
BaseRepresentation
bin1110010111111110011000…
…0111111000110000010000
32001221221120210111112120221
43211333212013320300100
54032422213122243021
653340423200442424
73220606522130602
oct345774607706020
961857523445527
1015805045509136
115043978175a34
121933159919414
138a85425a0000
143c8d7ad87172
151c61d389c241
hexe5fe61f8c10

15805045509136 has 75 divisors (see below), whose sum is σ = 33179684476353. Its totient is φ = 7293396015360.

The previous prime is 15805045509079. The next prime is 15805045509173. The reversal of 15805045509136 is 63190554050851.

The square root of 15805045509136 is 3975556.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 13746624030736 + 2058421478400 = 3707644^2 + 1434720^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2687472916 + ... + 2687478796.

Almost surely, 215805045509136 is an apocalyptic number.

15805045509136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15805045509136 is the 3975556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15805045509136

15805045509136 is an abundant number, since it is smaller than the sum of its proper divisors (17374638967217).

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

15805045509136 is an frugal number, since it uses more digits than its factorization.

15805045509136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 52.

Adding to 15805045509136 its reverse (63190554050851), we get a palindrome (78995599559987).

The spelling of 15805045509136 in words is "fifteen trillion, eight hundred five billion, forty-five million, five hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 4394 5881 8788 11762 17576 23524 28561 35152 47048 57122 76453 94096 114244 152906 228488 305812 456976 611624 993889 1223248 1987778 3975556 7951112 12920557 15902224 25841114 34586161 51682228 69172322 103364456 138344644 167967241 206728912 276689288 335934482 449620093 553378576 671868964 899240186 1343737928 1798480372 2687475856 3596960744 5845061209 7193921488 11690122418 23380244836 46760489672 75985795717 93520979344 151971591434 303943182868 607886365736 987815344321 1215772731472 1975630688642 3951261377284 7902522754568 15805045509136