Search a number
-
+
2136456246024 = 233353641291143
BaseRepresentation
bin11111000101101110101…
…101110011001100001000
321120020120022100101011000
4133011232231303030020
5240000430244333044
64313250251535000
7310232243313102
oct37055655631410
97506508311130
102136456246024
1175407a943131
122a6086a5a460
1312660bbaa609
14755955b0572
153a892a4cd69
hex1f16eb73308

2136456246024 has 128 divisors (see below), whose sum is σ = 6056028115200. Its totient is φ = 697622814720.

The previous prime is 2136456245993. The next prime is 2136456246037. The reversal of 2136456246024 is 4206426546312.

It is a happy number.

2136456246024 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 4 + 562 + 4 + 60 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7192597 + ... + 7483739.

It is an arithmetic number, because the mean of its divisors is an integer number (47312719650).

Almost surely, 22136456246024 is an apocalyptic number.

2136456246024 is a gapful number since it is divisible by the number (24) 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 2136456246024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028014057600).

2136456246024 is an abundant number, since it is smaller than the sum of its proper divisors (3919571869176).

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

2136456246024 is a wasteful number, since it uses less digits than its factorization.

2136456246024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291852 (or 291842 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2136456246024 in words is "two trillion, one hundred thirty-six billion, four hundred fifty-six million, two hundred forty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 641 954 1272 1282 1431 1908 1923 2564 2862 3816 3846 5128 5724 5769 7692 11448 11538 15384 17307 23076 33973 34614 46152 67946 69228 101919 135892 138456 203838 271784 291143 305757 407676 582286 611514 815352 873429 917271 1164572 1223028 1746858 1834542 2329144 2446056 2620287 3493716 3669084 5240574 6987432 7338168 7860861 10481148 15430579 15721722 20962296 30861158 31443444 46291737 61722316 62886888 92583474 123444632 138875211 185166948 186622663 277750422 370333896 373245326 416625633 555500844 559867989 746490652 833251266 1111001688 1119735978 1492981304 1666502532 1679603967 2239471956 3333005064 3359207934 4478943912 5038811901 6718415868 9891001139 10077623802 13436831736 19782002278 20155247604 29673003417 39564004556 40310495208 59346006834 79128009112 89019010251 118692013668 178038020502 237384027336 267057030753 356076041004 534114061506 712152082008 1068228123012 2136456246024