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2133071778048 = 28341179378449
BaseRepresentation
bin11111000010100100111…
…111000101000100000000
321112220211102212120220020
4133002210333011010000
5234422012333344143
64311530351013440
7310052335645401
oct37024477050400
97486742776806
102133071778048
117526a3456262
122a54a150a280
131261bc962343
1475353cc79a8
153a745862883
hex1f0a4fc5100

2133071778048 has 144 divisors (see below), whose sum is σ = 5848051608000. Its totient is φ = 689804738560.

The previous prime is 2133071777959. The next prime is 2133071778113. The reversal of 2133071778048 is 8408771703312.

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 15 ways as a sum of consecutive naturals, for example, 5447128 + ... + 5825576.

It is an arithmetic number, because the mean of its divisors is an integer number (40611469500).

Almost surely, 22133071778048 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 2133071778048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924025804000).

2133071778048 is an abundant number, since it is smaller than the sum of its proper divisors (3714979829952).

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

2133071778048 is a wasteful number, since it uses less digits than its factorization.

2133071778048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378688 (or 378674 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 2133071778048 in words is "two trillion, one hundred thirty-three billion, seventy-one million, seven hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 179 192 246 256 328 358 384 492 537 656 716 768 984 1074 1312 1432 1968 2148 2624 2864 3936 4296 5248 5728 7339 7872 8592 10496 11456 14678 15744 17184 22017 22912 29356 31488 34368 44034 45824 58712 68736 88068 117424 137472 176136 234848 352272 378449 469696 704544 756898 939392 1135347 1409088 1513796 1878784 2270694 2818176 3027592 4541388 5636352 6055184 9082776 12110368 15516409 18165552 24220736 31032818 36331104 46549227 48441472 62065636 67742371 72662208 93098454 96882944 124131272 135484742 145324416 186196908 203227113 248262544 270969484 290648832 372393816 406454226 496525088 541938968 744787632 812908452 993050176 1083877936 1489575264 1625816904 1986100352 2167755872 2777437211 2979150528 3251633808 3972200704 4335511744 5554874422 5958301056 6503267616 8332311633 8671023488 11109748844 11916602112 13006535232 16664623266 17342046976 22219497688 26013070464 33329246532 44438995376 52026140928 66658493064 88877990752 133316986128 177755981504 266633972256 355511963008 533267944512 711023926016 1066535889024 2133071778048