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5067127733536 = 2511192851265747
BaseRepresentation
bin100100110111100100001…
…0110010011110100100000
3122221102010211210022102101
41021233020112103310200
51131004434144433121
614435450100500144
71032042102040111
oct111571026236440
918842124708371
105067127733536
111683a585622a0
1269a0629aa654
132a9a9c42b35b
14137370b26208
158bc1aac0491
hex49bc8593d20

5067127733536 has 96 divisors (see below), whose sum is σ = 11459649035520. Its totient is φ = 2181243168000.

The previous prime is 5067127733533. The next prime is 5067127733597. The reversal of 5067127733536 is 6353377217605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5067127733533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18934615 + ... + 19200361.

It is an arithmetic number, because the mean of its divisors is an integer number (119371344120).

Almost surely, 25067127733536 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 5067127733536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729824517760).

5067127733536 is an abundant number, since it is smaller than the sum of its proper divisors (6392521301984).

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

5067127733536 is a wasteful number, since it uses less digits than its factorization.

5067127733536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268638 (or 268630 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 55.

The spelling of 5067127733536 in words is "five trillion, sixty-seven billion, one hundred twenty-seven million, seven hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 2851 3344 5702 6688 11404 22808 31361 45616 54169 62722 91232 108338 125444 216676 250888 265747 433352 501776 531494 595859 866704 1003552 1062988 1191718 1733408 2125976 2383436 2923217 4251952 4766872 5049193 5846434 8503904 9533744 10098386 11692868 19067488 20196772 23385736 40393544 46771472 55541123 80787088 93542944 111082246 161574176 222164492 444328984 757644697 888657968 1515289394 1777315936 3030578788 6061157576 8334091667 12122315152 14395249243 16668183334 24244630304 28790498486 33336366668 57580996972 66672733336 115161993944 133345466672 158347741673 230323987888 266690933344 316695483346 460647975776 633390966692 1266781933384 2533563866768 5067127733536