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12106003264 = 262359139393
BaseRepresentation
bin10110100011001001…
…01111001101000000
31011020200120200111021
423101210233031000
5144243114101024
65321133355224
7605666221105
oct132144571500
934220520437
1012106003264
115152583483
12241a338b14
1311ac0ca954
1482bb32aac
154acc0dde4
hex2d192f340

12106003264 has 56 divisors (see below), whose sum is σ = 25492374720. Its totient is φ = 5691654144.

The previous prime is 12106003199. The next prime is 12106003271. The reversal of 12106003264 is 46230060121.

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, 17152 + ... + 156544.

Almost surely, 212106003264 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 12106003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746187360).

12106003264 is an abundant number, since it is smaller than the sum of its proper divisors (13386371456).

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

12106003264 is a wasteful number, since it uses less digits than its factorization.

12106003264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139487 (or 139477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12106003264 its reverse (46230060121), we get a palindrome (58336063385).

The spelling of 12106003264 in words is "twelve billion, one hundred six million, three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 23 32 46 59 64 92 118 184 236 368 472 736 944 1357 1472 1888 2714 3776 5428 10856 21712 43424 86848 139393 278786 557572 1115144 2230288 3206039 4460576 6412078 8224187 8921152 12824156 16448374 25648312 32896748 51296624 65793496 102593248 131586992 189156301 205186496 263173984 378312602 526347968 756625204 1513250408 3026500816 6053001632 12106003264