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2133354533312 = 261710121192009
BaseRepresentation
bin11111000010110101110…
…101101101000111000000
321112221120010221001012102
4133002311311231013000
5234423102230031222
64312014411245532
7310062341222642
oct37026565550700
97487503831172
102133354533312
117528290214a2
122a55601498a8
13126236402b52
147537d68c892
153a7605b6d92
hex1f0b5d6d1c0

2133354533312 has 112 divisors (see below), whose sum is σ = 4548281012640. Its totient is φ = 989270016000.

The previous prime is 2133354533309. The next prime is 2133354533327.

It is a happy number.

2133354533312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21333545333122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23140364 + ... + 23232372.

Almost surely, 22133354533312 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 2133354533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274140506320).

2133354533312 is an abundant number, since it is smaller than the sum of its proper divisors (2414926479328).

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

2133354533312 is a wasteful number, since it uses less digits than its factorization.

2133354533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92350 (or 92340 counting only the distinct ones).

The product of its digits is 291600, while the sum is 38.

The spelling of 2133354533312 in words is "two trillion, one hundred thirty-three billion, three hundred fifty-four million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 211 272 404 422 544 808 844 1088 1616 1688 1717 3232 3376 3434 3587 6464 6752 6868 7174 13504 13736 14348 21311 27472 28696 42622 54944 57392 85244 92009 109888 114784 170488 184018 229568 340976 362287 368036 681952 724574 736072 1363904 1449148 1472144 1564153 2898296 2944288 3128306 5796592 5888576 6256612 9292909 11593184 12513224 18585818 19413899 23186368 25026448 37171636 38827798 50052896 74343272 77655596 100105792 148686544 155311192 157979453 297373088 310622384 315958906 330036283 594746176 621244768 631917812 660072566 1242489536 1263835624 1320145132 1960803799 2527671248 2640290264 3921607598 5055342496 5280580528 7843215196 10110684992 10561161056 15686430392 21122322112 31372860784 33333664583 62745721568 66667329166 125491443136 133334658332 266669316664 533338633328 1066677266656 2133354533312