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8200253866364 = 2271719991914941
BaseRepresentation
bin111011101010100010100…
…1110000000000101111100
31002000221021210100211112122
41313111011032000011330
52033323104442210424
625235051123222112
71504306635540350
oct167250516000574
932027253324478
108200253866364
112681787588a4a
12b05320517938
134763856aa801
14204c74365460
15e349283445e
hex7754538017c

8200253866364 has 96 divisors (see below), whose sum is σ = 18297668874240. Its totient is φ = 3130412313600.

The previous prime is 8200253866327. The next prime is 8200253866367. The reversal of 8200253866364 is 4636683520028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8200253866367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8505134 + ... + 9420074.

It is an arithmetic number, because the mean of its divisors is an integer number (190600717440).

Almost surely, 28200253866364 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 8200253866364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148834437120).

8200253866364 is an abundant number, since it is smaller than the sum of its proper divisors (10097415007876).

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

8200253866364 is a wasteful number, since it uses less digits than its factorization.

8200253866364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915979 (or 915977 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 53.

The spelling of 8200253866364 in words is "eight trillion, two hundred billion, two hundred fifty-three million, eight hundred sixty-six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 476 532 646 991 1292 1982 2261 3964 4522 6937 9044 13874 16847 18829 27748 33694 37658 67388 75316 117929 131803 235858 263606 320093 471716 527212 640186 914941 1280372 1829882 2240651 3659764 4481302 6404587 8962604 12809174 15553997 17383879 25618348 31107994 34767758 62215988 69535516 108877979 121687153 217755958 243374306 295525943 435511916 486748612 591051886 906706531 1182103772 1813413062 2068681601 3626826124 4137363202 6346945717 8274726404 12693891434 15414011027 17227424089 25387782868 30828022054 34454848178 61656044108 68909696356 107898077189 120591968623 215796154378 241183937246 292866209513 431592308756 482367874492 585732419026 1171464838052 2050063466591 4100126933182 8200253866364