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12079241944 = 2371119254319
BaseRepresentation
bin10110011111111101…
…01001101011011000
31011011211020001212021
423033332221223120
5144214241220234
65314340024224
7605222601550
oct131776515330
934154201767
1012079241944
115139465290
122411392074
1311a66bab53
14828368160
154aa6c49b4
hex2cffa9ad8

12079241944 has 96 divisors (see below), whose sum is σ = 29802124800. Its totient is φ = 4458421440.

The previous prime is 12079241921. The next prime is 12079241947. The reversal of 12079241944 is 44914297021.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12079241944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12079241947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195217 + ... + 249535.

It is an arithmetic number, because the mean of its divisors is an integer number (310438800).

Almost surely, 212079241944 is an apocalyptic number.

12079241944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12079241944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901062400).

12079241944 is an abundant number, since it is smaller than the sum of its proper divisors (17722882856).

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

12079241944 is a wasteful number, since it uses less digits than its factorization.

12079241944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54381 (or 54358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 12079241944 in words is "twelve billion, seventy-nine million, two hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 361 418 532 616 722 836 1064 1444 1463 1672 2527 2888 2926 3971 5054 5852 7942 10108 11704 15884 20216 27797 31768 54319 55594 108638 111188 217276 222376 380233 434552 597509 760466 1032061 1195018 1520932 2064122 2390036 3041864 4128244 4182563 4780072 7224427 8256488 8365126 11352671 14448854 16730252 19609159 22705342 28897708 33460504 39218318 45410684 57795416 78436636 79468697 90821368 137264113 156873272 158937394 215700749 274528226 317874788 431401498 549056452 635749576 862802996 1098112904 1509905243 1725605992 3019810486 6039620972 12079241944