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1991288319012 = 2232389787318061
BaseRepresentation
bin11100111110100010000…
…010000110110000100100
321001100212022021121021200
4130332202002012300210
5230111124302202022
64122441335242500
7263602660303146
oct34764202066044
97040768247250
101991288319012
116a8556385a33
12281b12519430
13115a15752155
146c54388ac96
1536be82a3bac
hex1cfa2086c24

1991288319012 has 72 divisors (see below), whose sum is σ = 5047394472120. Its totient is φ = 661935697920.

The previous prime is 1991288318927. The next prime is 1991288319043. The reversal of 1991288319012 is 2109138821991.

It is a happy number.

1991288319012 is a `hidden beast` number, since 199 + 128 + 8 + 319 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26822578176 + 1964465740836 = 163776^2 + 1401594^2 .

It is a super-2 number, since 2×19912883190122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1991288319012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110244462 + ... + 110262522.

Almost surely, 21991288319012 is an apocalyptic number.

1991288319012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1991288319012 is an abundant number, since it is smaller than the sum of its proper divisors (3056106153108).

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

1991288319012 is a wasteful number, since it uses less digits than its factorization.

1991288319012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26333 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 1991288319012 in words is "one trillion, nine hundred ninety-one billion, two hundred eighty-eight million, three hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 389 778 1167 1556 2334 3501 4668 7002 7873 14004 15746 18061 23619 31492 36122 47238 54183 70857 72244 94476 108366 141714 162549 216732 283428 325098 650196 3062597 6125194 7025729 9187791 12250388 14051458 18375582 21077187 27563373 28102916 36751164 42154374 55126746 63231561 84308748 110253492 126463122 142194253 252926244 284388506 426582759 568777012 853165518 1279748277 1706331036 2559496554 5118993108 55313564417 110627128834 165940693251 221254257668 331881386502 497822079753 663762773004 995644159506 1991288319012