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12084159744 = 28333747251
BaseRepresentation
bin10110100000100010…
…11010010100000000
31011012011110220211000
423100101122110000
5144222021102434
65315033252000
7605312443266
oct132021322400
934164426730
1012084159744
115141214088
122412b64000
1311a77203a7
14828c88436
154aad46b99
hex2d045a500

12084159744 has 144 divisors (see below), whose sum is σ = 36701573440. Its totient is φ = 3919104000.

The previous prime is 12084159697. The next prime is 12084159749. The reversal of 12084159744 is 44795148021.

12084159744 is a `hidden beast` number, since 12 + 0 + 8 + 4 + 1 + 597 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 12084159744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12084159749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232119 + ... + 279369.

Almost surely, 212084159744 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 12084159744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18350786720).

12084159744 is an abundant number, since it is smaller than the sum of its proper divisors (24617413696).

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

12084159744 is an equidigital number, since it uses as much as digits as its factorization.

12084159744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47313 (or 47293 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 12084159744 in words is "twelve billion, eighty-four million, one hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 256 288 296 333 384 432 444 576 592 666 768 864 888 999 1152 1184 1332 1728 1776 1998 2304 2368 2664 3456 3552 3996 4736 5328 6912 7104 7992 9472 10656 14208 15984 21312 28416 31968 42624 47251 63936 85248 94502 127872 141753 189004 255744 283506 378008 425259 567012 756016 850518 1134024 1275777 1512032 1701036 1748287 2268048 2551554 3024064 3402072 3496574 4536096 5103108 5244861 6048128 6804144 6993148 9072192 10206216 10489722 12096256 13608288 13986296 15734583 18144384 20412432 20979444 27216576 27972592 31469166 36288768 40824864 41958888 47203749 54433152 55945184 62938332 81649728 83917776 94407498 108866304 111890368 125876664 163299456 167835552 188814996 223780736 251753328 326598912 335671104 377629992 447561472 503506656 671342208 755259984 1007013312 1342684416 1510519968 2014026624 3021039936 4028053248 6042079872 12084159744