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6748331616741 = 31113233734575347
BaseRepresentation
bin110001000110011011111…
…1010001010100111100101
3212220010121211111110200110
41202030313322022213211
51341031040343213431
622204050222403233
71264356643206261
oct142146772124745
925803554443613
106748331616741
112171a512a6060
1290ba56730519
1339c498a10010
1419489a00d0a1
15ba8161c9346
hex62337e8a9e5

6748331616741 has 128 divisors (see below), whose sum is σ = 11333929291776. Its totient is φ = 3511875502080.

The previous prime is 6748331616727. The next prime is 6748331616791. The reversal of 6748331616741 is 1476161338476.

It is not a de Polignac number, because 6748331616741 - 27 = 6748331616613 is a prime.

It is a super-2 number, since 2×67483316167412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6748331616791) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1262075430 + ... + 1262080776.

It is an arithmetic number, because the mean of its divisors is an integer number (88546322592).

Almost surely, 26748331616741 is an apocalyptic number.

It is an amenable number.

6748331616741 is a deficient number, since it is larger than the sum of its proper divisors (4585597675035).

6748331616741 is a wasteful number, since it uses less digits than its factorization.

6748331616741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891.

The product of its digits is 12192768, while the sum is 57.

The spelling of 6748331616741 in words is "six trillion, seven hundred forty-eight billion, three hundred thirty-one million, six hundred sixteen thousand, seven hundred forty-one".

Divisors: 1 3 11 13 23 33 37 39 69 111 143 253 299 407 429 481 759 851 897 1221 1443 2553 3289 3457 5291 5347 9361 9867 10371 11063 15873 16041 28083 33189 38027 44941 58817 69511 79511 114081 121693 122981 127909 134823 176451 197839 208533 238533 365079 368943 383727 494351 593517 764621 874621 1033643 1352791 1406999 1483053 1598753 1662817 2176229 2293863 2571907 2623863 2941907 3100929 4058373 4220997 4550297 4796259 4988451 6528687 7715721 8825721 11370073 13650891 17586283 18290987 18484579 28290977 32360977 34110219 38244791 50053267 52758849 54872961 55453737 59153861 84872931 97082931 114734373 150159801 177461583 203330369 240299527 420692701 425145317 609991107 650692471 683929423 720898581 1262078103 1275435951 1952077413 2051788269 2643294797 4676598487 5526889121 7523223653 7929884391 8891082499 14029795461 15730376729 16580667363 22569670959 26673247497 47191130187 60795780331 97801907489 173034144019 182387340993 204494897477 293405722467 519102432057 613484692431 2249443872247 6748331616741