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2896204156416 = 29331811157489
BaseRepresentation
bin101010001001010011001…
…110000100111000000000
3101020212121110002002201000
4222021103032010320000
5334422411231001131
610054255310212000
7416146432100154
oct52112316047000
911225543062630
102896204156416
11a1730081916a
123a9378ab4000
131801597acb8c
14a0269aa7064
155050c15ece6
hex2a253384e00

2896204156416 has 160 divisors (see below), whose sum is σ = 8620337325600. Its totient is φ = 960066846720.

The previous prime is 2896204156403. The next prime is 2896204156429. The reversal of 2896204156416 is 6146514026982.

It is a happy number.

2896204156416 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 20 + 41 + 564 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (2896204156403) and next prime (2896204156429).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1923400 + ... + 3080888.

It is an arithmetic number, because the mean of its divisors is an integer number (53877108285).

Almost surely, 22896204156416 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 2896204156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310168662800).

2896204156416 is an abundant number, since it is smaller than the sum of its proper divisors (5724133169184).

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

2896204156416 is a wasteful number, since it uses less digits than its factorization.

2896204156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157697 (or 1157675 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2896204156416 in words is "two trillion, eight hundred ninety-six billion, two hundred four million, one hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 256 288 362 384 432 512 543 576 724 768 864 1086 1152 1448 1536 1629 1728 2172 2304 2896 3258 3456 4344 4608 4887 5792 6516 6912 8688 9774 11584 13032 13824 17376 19548 23168 26064 34752 39096 46336 52128 69504 78192 92672 104256 139008 156384 208512 278016 312768 417024 625536 834048 1157489 1251072 2314978 2502144 3472467 4629956 6944934 9259912 10417401 13889868 18519824 20834802 27779736 31252203 37039648 41669604 55559472 62504406 74079296 83339208 111118944 125008812 148158592 166678416 209505509 222237888 250017624 296317184 333356832 419011018 444475776 500035248 592634368 628516527 666713664 838022036 888951552 1000070496 1257033054 1333427328 1676044072 1777903104 1885549581 2000140992 2514066108 2666854656 3352088144 3771099162 4000281984 5028132216 5333709312 5656648743 6704176288 7542198324 8000563968 10056264432 11313297486 13408352576 15084396648 16001127936 20112528864 22626594972 26816705152 30168793296 40225057728 45253189944 53633410304 60337586592 80450115456 90506379888 107266820608 120675173184 160900230912 181012759776 241350346368 321800461824 362025519552 482700692736 724051039104 965401385472 1448102078208 2896204156416