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19330866618368 = 21331215672
BaseRepresentation
bin1000110010100110100010…
…11100000010000000000000
32112110000100022221210012112
410121103101130002000000
510013204103323241433
6105040251051314452
74033415616101234
oct431232134020000
975400308853175
1019330866618368
1161831a12846a8
12220255014ba28
13aa2b7b918326
144ab89450c5c4
15237c90a3d348
hex1194d1702000

19330866618368 has 126 divisors (see below), whose sum is σ = 39972187077183. Its totient is φ = 9347675996160.

The previous prime is 19330866618353. The next prime is 19330866618389. The reversal of 19330866618368 is 86381666803391.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 9665433309184 + 9665433309184 = 3108928^2 + 3108928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3108928.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 19330866618298 and 19330866618307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12336225521 + ... + 12336227087.

Almost surely, 219330866618368 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 19330866618368

19330866618368 is an abundant number, since it is smaller than the sum of its proper divisors (20641320458815).

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

19330866618368 is an frugal number, since it uses more digits than its factorization.

19330866618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 68.

The spelling of 19330866618368 in words is "nineteen trillion, three hundred thirty billion, eight hundred sixty-six million, six hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 961 992 1024 1567 1922 1984 2048 3134 3844 3968 4096 6268 7688 7936 8192 12536 15376 15872 25072 30752 31744 48577 50144 61504 63488 97154 100288 123008 126976 194308 200576 246016 253952 388616 401152 492032 777232 802304 984064 1505887 1554464 1604608 1968128 2455489 3011774 3108928 3209216 3936256 4910978 6023548 6217856 6418432 7872512 9821956 12047096 12435712 12836864 19643912 24094192 24871424 39287824 48188384 49742848 76120159 78575648 96376768 99485696 152240318 157151296 192753536 198971392 304480636 314302592 385507072 397942784 608961272 628605184 771014144 1217922544 1257210368 1542028288 2359724929 2435845088 2514420736 3084056576 4719449858 4871690176 5028841472 6168113152 9438899716 9743380352 10057682944 12336226304 18877799432 19486760704 20115365888 37755598864 38973521408 75511197728 77947042816 151022395456 155894085632 302044790912 311788171264 604089581824 623576342528 1208179163648 2416358327296 4832716654592 9665433309184 19330866618368