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19220297737216 = 21017280592
BaseRepresentation
bin1000101111011000100110…
…00001001110010000000000
32112001102221121002122121011
410113230103001032100000
510004401132210042331
6104513403300410304
74022422616110162
oct427542301162000
975042847078534
1019220297737216
116140312000784
1221a50329a6994
13a9560a5c9b74
144a63a5962932
15234e6da233b1
hex117b1304e400

19220297737216 has 99 divisors (see below), whose sum is σ = 40819945675089. Its totient is φ = 9043723665408.

The previous prime is 19220297737187. The next prime is 19220297737229. The reversal of 19220297737216 is 61273779202291.

The square root of 19220297737216 is 4384096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14963899622400 + 4256398114816 = 3868320^2 + 2063104^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2384944195 + ... + 2384952253.

Almost surely, 219220297737216 is an apocalyptic number.

19220297737216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19220297737216 is the 4384096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19220297737216

19220297737216 is an abundant number, since it is smaller than the sum of its proper divisors (21599647937873).

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

19220297737216 is an frugal number, since it uses more digits than its factorization.

19220297737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 58.

The spelling of 19220297737216 in words is "nineteen trillion, two hundred twenty billion, two hundred ninety-seven million, seven hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2176 2312 4352 4624 8059 8704 9248 16118 17408 18496 32236 36992 64472 73984 128944 137003 147968 257888 274006 295936 515776 548012 1031552 1096024 2063104 2192048 2329051 4126208 4384096 4658102 8252416 8768192 9316204 17536384 18632408 35072768 37264816 64947481 70145536 74529632 129894962 140291072 149059264 259789924 298118528 519579848 596237056 1039159696 1104107177 1192474112 2078319392 2208214354 2384948224 4156638784 4416428708 8313277568 8832857416 16626555136 17665714832 18769822009 33253110272 35331429664 37539644018 66506220544 70662859328 75079288036 141325718656 150158576072 282651437312 300317152144 565302874624 600634304288 1130605749248 1201268608576 2402537217152 4805074434304 9610148868608 19220297737216