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2402806020216 = 2337101463305849
BaseRepresentation
bin100010111101110010011…
…001100011100001111000
322111201001200102211001120
4202331302121203201320
5303331421320121331
65035500035545240
7335411526120030
oct42756231434170
98451050384046
102402806020216
1184702a3a2758
1232981aa5b220
13145778329bb4
14844215a28c0
1542780dee796
hex22f72663878

2402806020216 has 128 divisors (see below), whose sum is σ = 6948129024000. Its totient is φ = 678248524800.

The previous prime is 2402806020161. The next prime is 2402806020233. The reversal of 2402806020216 is 6120206082042.

2402806020216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7703260 + ... + 8009108.

It is an arithmetic number, because the mean of its divisors is an integer number (54282258000).

Almost surely, 22402806020216 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 2402806020216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474064512000).

2402806020216 is an abundant number, since it is smaller than the sum of its proper divisors (4545323003784).

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

2402806020216 is a wasteful number, since it uses less digits than its factorization.

2402806020216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306429 (or 306425 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 2402806020216 in words is "two trillion, four hundred two billion, eight hundred six million, twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 463 606 707 808 926 1212 1389 1414 1852 2121 2424 2778 2828 3241 3704 4242 5556 5656 6482 8484 9723 11112 12964 16968 19446 25928 38892 46763 77784 93526 140289 187052 280578 305849 327341 374104 561156 611698 654682 917547 982023 1122312 1223396 1309364 1835094 1964046 2140943 2446792 2618728 3670188 3928092 4281886 6422829 7340376 7856184 8563772 12845658 17127544 25691316 30890749 51382632 61781498 92672247 123562996 141608087 185344494 216235243 247125992 283216174 370688988 424824261 432470486 566432348 648705729 741377976 849648522 864940972 991256609 1132864696 1297411458 1699297044 1729881944 1982513218 2594822916 2973769827 3398594088 3965026436 5189645832 5947539654 7930052872 11895079308 14302416787 23790158616 28604833574 42907250361 57209667148 85814500722 100116917509 114419334296 171629001444 200233835018 300350752527 343258002888 400467670036 600701505054 800935340072 1201403010108 2402806020216