Search a number
-
+
12346215195264 = 273211152377261
BaseRepresentation
bin1011001110101001001111…
…0001010110001010000000
31121201021201222001022010020
42303222103301112022000
53104240022042222024
642131434543133440
72412661502426436
oct263522361261200
947637658038106
1012346215195264
113a30000681355
1214749425a4280
136b7321114282
143097ba916d56
15166247a5a979
hexb3a93c56280

12346215195264 has 64 divisors (see below), whose sum is σ = 32950059134880. Its totient is φ = 4095900748800.

The previous prime is 12346215195239. The next prime is 12346215195343. The reversal of 12346215195264 is 46259151264321.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76107607 + ... + 76269654.

Almost surely, 212346215195264 is an apocalyptic number.

It is an amenable number.

12346215195264 is an abundant number, since it is smaller than the sum of its proper divisors (20603843939616).

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

12346215195264 is a wasteful number, since it uses less digits than its factorization.

12346215195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152377489 (or 152377477 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 12346215195264 in words is "twelve trillion, three hundred forty-six billion, two hundred fifteen million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 81024 152377261 304754522 457131783 609509044 914263566 1219018088 1828527132 2438036176 3657054264 4876072352 7314108528 9752144704 14628217056 19504289408 29256434112 32151602071 58512868224 64303204142 96454806213 128606408284 192909612426 257212816568 385819224852 514425633136 771638449704 1028851266272 1543276899408 2057702532544 3086553798816 4115405065088 6173107597632 12346215195264