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12244652064 = 253447100511
BaseRepresentation
bin10110110011101011…
…01001000000100000
31011121100110202220000
423121311221000200
5200034112331224
65343005220000
7612301553031
oct133165510040
934540422800
1012244652064
115213872367
122458861600
131201a53c68
14842304a88
154b9e9a0c9
hex2d9d69020

12244652064 has 120 divisors (see below), whose sum is σ = 36777742848. Its totient is φ = 3994669440.

The previous prime is 12244652053. The next prime is 12244652081. The reversal of 12244652064 is 46025644221.

12244652064 is a `hidden beast` number, since 1 + 2 + 2 + 446 + 5 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71569 + ... + 172079.

Almost surely, 212244652064 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 12244652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388871424).

12244652064 is an abundant number, since it is smaller than the sum of its proper divisors (24533090784).

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

12244652064 is a wasteful number, since it uses less digits than its factorization.

12244652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100580 (or 100563 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 12244652064 in words is "twelve billion, two hundred forty-four million, six hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 13536 15228 20304 30456 40608 60912 100511 121824 201022 301533 402044 603066 804088 904599 1206132 1608176 1809198 2412264 2713797 3216352 3618396 4724017 4824528 5427594 7236792 8141391 9448034 9649056 10855188 14172051 14473584 16282782 18896068 21710376 28344102 28947168 32565564 37792136 42516153 43420752 56688204 65131128 75584272 85032306 86841504 113376408 127548459 130262256 151168544 170064612 226752816 255096918 260524512 340129224 382645377 453505632 510193836 680258448 765290754 1020387672 1360516896 1530581508 2040775344 3061163016 4081550688 6122326032 12244652064