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1919344342656 = 27313384484043
BaseRepresentation
bin11011111011100001110…
…101100111011010000000
320210111011101222221011210
4123323201311213122000
5222421304122431111
64025422402210120
7255445066505016
oct33734165473200
96714141887153
101919344342656
1167aa97931734
1226bb94653940
1310bcbb647540
1468c7aa008b6
1534dd719a0a6
hex1bee1d67680

1919344342656 has 64 divisors (see below), whose sum is σ = 5490432148320. Its totient is φ = 590567488512.

The previous prime is 1919344342627. The next prime is 1919344342661. The reversal of 1919344342656 is 6562434439191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×19193443426562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1919344342596 and 1919344342605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192237030 + ... + 192247013.

Almost surely, 21919344342656 is an apocalyptic number.

1919344342656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1919344342656 is an abundant number, since it is smaller than the sum of its proper divisors (3571087805664).

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

1919344342656 is a wasteful number, since it uses less digits than its factorization.

1919344342656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384484073 (or 384484061 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The spelling of 1919344342656 in words is "one trillion, nine hundred nineteen billion, three hundred forty-four million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 384484043 768968086 1153452129 1537936172 2306904258 3075872344 4613808516 4998292559 6151744688 9227617032 9996585118 12303489376 14994877677 18455234064 19993170236 24606978752 29989755354 36910468128 39986340472 49213957504 59979510708 73820936256 79972680944 119959021416 147641872512 159945361888 239918042832 319890723776 479836085664 639781447552 959672171328 1919344342656