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5740542859248 = 24321073111197971
BaseRepresentation
bin101001110001001001100…
…0001001001011111110000
3202022210100022011011112200
41103202103001021133300
51223023112432443443
620113100300023200
71131512001130401
oct123422301113760
922283308134480
105740542859248
1119136068743aa
12788680231b00
1332843bbc3942
1415bbb53a99a8
159e4d0c92dd3
hex538930497f0

5740542859248 has 120 divisors (see below), whose sum is σ = 16267846398336. Its totient is φ = 1889534121600.

The previous prime is 5740542859199. The next prime is 5740542859273. The reversal of 5740542859248 is 8429582450475.

5740542859248 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 542 + 85 + 9 + 2 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 23959432-1.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4192903 + ... + 5390873.

Almost surely, 25740542859248 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 5740542859248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8133923199168).

5740542859248 is an abundant number, since it is smaller than the sum of its proper divisors (10527303539088).

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

5740542859248 is a wasteful number, since it uses less digits than its factorization.

5740542859248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198403 (or 1198394 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 5740542859248 in words is "five trillion, seven hundred forty billion, five hundred forty-two million, eight hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 311 321 428 622 642 856 933 963 1244 1284 1712 1866 1926 2488 2568 2799 3732 3852 4976 5136 5598 7464 7704 11196 14928 15408 22392 33277 44784 66554 99831 133108 199662 266216 299493 399324 532432 598986 798648 1197971 1197972 1597296 2395942 2395944 3593913 4791884 4791888 7187826 9583768 10781739 14375652 19167536 21563478 28751304 43126956 57502608 86253912 128182897 172507824 256365794 372568981 384548691 512731588 745137962 769097382 1025463176 1117706943 1153646073 1490275924 1538194764 2050926352 2235413886 2307292146 2980551848 3076389528 3353120829 4470827772 4614584292 5961103696 6152779056 6706241658 8941655544 9229168584 13412483316 17883311088 18458337168 26824966632 39864880967 53649933264 79729761934 119594642901 159459523868 239189285802 318919047736 358783928703 478378571604 637838095472 717567857406 956757143208 1435135714812 1913514286416 2870271429624 5740542859248