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12334136466145 = 5131753875324061
BaseRepresentation
bin1011001101111100001111…
…0100101001101011100001
31121200010120011210021201111
42303133003310221223201
53104040302413404040
642122120222103321
72412053254061644
oct263370364515341
947603504707644
1012334136466145
113a2597253739a
12147253141ab41
136b6147875990
14308d92683a5b
15165c8c437dea
hexb37c3d29ae1

12334136466145 has 64 divisors (see below), whose sum is σ = 17198232496704. Its totient is φ = 8409448120320.

The previous prime is 12334136466083. The next prime is 12334136466167. The reversal of 12334136466145 is 54166463143321.

It can be written as a sum of positive squares in 32 ways, for example, as 616872009744 + 11717264456401 = 785412^2 + 3423049^2 .

It is not a de Polignac number, because 12334136466145 - 27 = 12334136466017 is a prime.

It is a super-2 number, since 2×123341364661452 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 512607415 + ... + 512631475.

It is an arithmetic number, because the mean of its divisors is an integer number (268722382761).

Almost surely, 212334136466145 is an apocalyptic number.

It is an amenable number.

12334136466145 is a deficient number, since it is larger than the sum of its proper divisors (4864096030559).

12334136466145 is a wasteful number, since it uses less digits than its factorization.

12334136466145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32902.

The product of its digits is 3732480, while the sum is 49.

The spelling of 12334136466145 in words is "twelve trillion, three hundred thirty-four billion, one hundred thirty-six million, four hundred sixty-six thousand, one hundred forty-five".

Divisors: 1 5 13 17 53 65 85 221 265 689 901 1105 3445 4505 8753 11713 24061 43765 58565 113789 120305 148801 312793 409037 463909 568945 744005 1275233 1563965 1934413 2045185 2319545 5317481 6030817 6376165 7886453 9672065 16578029 21678961 26587405 30154085 39432265 82890145 102523889 108394805 210605933 281826493 512619445 1053029665 1409132465 2737877129 3580300861 11162114449 13689385645 17901504305 46543911193 55810572245 145107487837 189755945633 232719555965 725537439185 948779728165 2466827293229 12334136466145