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12270145408 = 271732272441
BaseRepresentation
bin10110110110101101…
…11000111110000000
31011200010102222011221
423123112320332000
5200112124123113
65345315444424
7613031341453
oct133326707600
934603388157
1012270145408
1152271a4944
1224652b6714
13120710b891
1484585d49a
154bc33398d
hex2db5b8f80

12270145408 has 64 divisors (see below), whose sum is σ = 24704151120. Its totient is φ = 6070251520.

The previous prime is 12270145373. The next prime is 12270145411. The reversal of 12270145408 is 80454107221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5025468 + ... + 5027908.

Almost surely, 212270145408 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 12270145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352075560).

12270145408 is an abundant number, since it is smaller than the sum of its proper divisors (12434005712).

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

12270145408 is a wasteful number, since it uses less digits than its factorization.

12270145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 12270145408 in words is "twelve billion, two hundred seventy million, one hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 173 227 346 454 692 908 1384 1816 2441 2768 3632 4882 5536 7264 9764 11072 14528 19528 22144 29056 39056 39271 78112 78542 156224 157084 312448 314168 422293 554107 628336 844586 1108214 1256672 1689172 2216428 2513344 3378344 4432856 5026688 6756688 8865712 13513376 17731424 27026752 35462848 54053504 70925696 95860511 191721022 383442044 766884088 1533768176 3067536352 6135072704 12270145408