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1333396223952 = 2431317322754413
BaseRepresentation
bin10011011001110100100…
…110111011011111010000
311201110201200020102000120
4103121310212323133100
5133321243413131302
62500315340350240
7165222541616652
oct23316446733720
94643650212016
101333396223952
11474543452581
12196507845380
139897ac926c0
1448772a9a6d2
1524a40cac9bc
hex136749bb7d0

1333396223952 has 160 divisors (see below), whose sum is σ = 3747524393088. Its totient is φ = 406099826688.

The previous prime is 1333396223923. The next prime is 1333396223963. The reversal of 1333396223952 is 2593226933331.

It is a junction number, because it is equal to n+sod(n) for n = 1333396223895 and 1333396223904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24477898 + ... + 24532310.

Almost surely, 21333396223952 is an apocalyptic number.

1333396223952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333396223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873762196544).

1333396223952 is an abundant number, since it is smaller than the sum of its proper divisors (2414128169136).

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

1333396223952 is a wasteful number, since it uses less digits than its factorization.

1333396223952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54837 (or 54831 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 51.

The spelling of 1333396223952 in words is "one trillion, three hundred thirty-three billion, three hundred ninety-six million, two hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 173 208 227 312 346 454 519 624 681 692 908 1038 1362 1384 1816 2076 2249 2724 2768 2951 3632 4152 4498 5448 5902 6747 8304 8853 8996 10896 11804 13494 17706 17992 23608 26988 35412 35984 39271 47216 53976 54413 70824 78542 107952 108826 117813 141648 157084 163239 217652 235626 314168 326478 435304 471252 510523 628336 652956 707369 870608 942504 1021046 1305912 1414738 1531569 1885008 2042092 2122107 2611824 2829476 3063138 4084184 4244214 5658952 6126276 8168368 8488428 9413449 11317904 12252552 12351751 16976856 18826898 24505104 24703502 28240347 33953712 37055253 37653796 49407004 56480694 74110506 75307592 98814008 112961388 122374837 148221012 150615184 160572763 197628016 225922776 244749674 296442024 321145526 367124511 451845552 481718289 489499348 592884048 642291052 734249022 963436578 978998696 1284582104 1468498044 1926873156 1957997392 2136852923 2569164208 2936996088 3853746312 4273705846 5873992176 6410558769 7707492624 8547411692 12821117538 17094823384 25642235076 27779087999 34189646768 51284470152 55558175998 83337263997 102568940304 111116351996 166674527994 222232703992 333349055988 444465407984 666698111976 1333396223952