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12458840064 = 21231192173
BaseRepresentation
bin10111001101001101…
…01101000000000000
31012011021111122120220
423212212231000000
5201003430340224
65420140103040
7620512251606
oct134646550000
935137448526
1012458840064
115313765a40
1224b8534a80
131237238118
1486293b876
154cdba8279
hex2e69ad000

12458840064 has 104 divisors (see below), whose sum is σ = 36239867232. Its totient is φ = 3775365120.

The previous prime is 12458840011. The next prime is 12458840117. The reversal of 12458840064 is 46004885421.

It is an interprime number because it is at equal distance from previous prime (12458840011) and next prime (12458840117).

It is a junction number, because it is equal to n+sod(n) for n = 12458839998 and 12458840025.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 89082 + ... + 181254.

Almost surely, 212458840064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12458840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119933616).

12458840064 is an abundant number, since it is smaller than the sum of its proper divisors (23781027168).

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

12458840064 is an equidigital number, since it uses as much as digits as its factorization.

12458840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92211 (or 92189 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 12458840064 in words is "twelve billion, four hundred fifty-eight million, eight hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 16896 22528 33792 45056 67584 92173 135168 184346 276519 368692 553038 737384 1013903 1106076 1474768 2027806 2212152 2949536 3041709 4055612 4424304 5899072 6083418 8111224 8848608 11798144 12166836 16222448 17697216 23596288 24333672 32444896 35394432 47192576 48667344 64889792 70788864 94385152 97334688 129779584 141577728 188770304 194669376 259559168 283155456 377540608 389338752 519118336 566310912 778677504 1038236672 1132621824 1557355008 2076473344 3114710016 4152946688 6229420032 12458840064