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5780759039874 = 2347131732266639
BaseRepresentation
bin101010000011111000000…
…0101101100111110000010
3202110122011000222211010000
41110013300011230332002
51224202443303233444
620143351040220430
71134434412046410
oct124076005547602
922418130884100
105780759039874
111929673857115
1279442460a716
1332c17a9a7320
1415db0c56c2b0
15a058672d469
hex541f016cf82

5780759039874 has 160 divisors (see below), whose sum is σ = 16034537756160. Its totient is φ = 1515782429568.

The previous prime is 5780759039873. The next prime is 5780759039899. The reversal of 5780759039874 is 4789309570875.

5780759039874 is a `hidden beast` number, since 5 + 7 + 80 + 7 + 5 + 90 + 398 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (5780759039873) 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 79 ways as a sum of consecutive naturals, for example, 1417047 + ... + 3683685.

It is an arithmetic number, because the mean of its divisors is an integer number (100215860976).

Almost surely, 25780759039874 is an apocalyptic number.

5780759039874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780759039874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017268878080).

5780759039874 is an abundant number, since it is smaller than the sum of its proper divisors (10253778716286).

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

5780759039874 is a wasteful number, since it uses less digits than its factorization.

5780759039874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266846 (or 2266837 counting only the distinct ones).

The product of its (nonzero) digits is 533433600, while the sum is 72.

The spelling of 5780759039874 in words is "five trillion, seven hundred eighty billion, seven hundred fifty-nine million, thirty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 173 182 189 234 273 346 351 378 519 546 567 702 819 1038 1053 1134 1211 1557 1638 2106 2249 2422 2457 3114 3633 4498 4671 4914 6747 7266 7371 9342 10899 13494 14013 14742 15743 20241 21798 28026 31486 32697 40482 47229 60723 65394 94458 98091 121446 141687 182169 196182 283374 364338 425061 850122 1275183 2266639 2550366 4533278 6799917 13599834 15866473 20399751 29466307 31732946 40799502 47599419 58932614 61199253 88398921 95198838 122398506 142798257 176797842 183597759 206264149 265196763 285596514 367195518 392128547 412528298 428394771 530393526 618792447 784257094 795590289 856789542 1176385641 1237584894 1285184313 1591180578 1856377341 2352771282 2386770867 2570368626 2744899829 3529156923 3712754682 4773541734 5097671111 5489799658 5569132023 7058313846 8234699487 10195342222 10587470769 11138264046 15293013333 16469398974 16707396069 21174941538 24704098461 30586026666 31762412307 33414792138 35683697777 45879039999 49408196922 63524824614 71367395554 74112295383 91758079998 107051093331 137637119997 148224590766 214102186662 222336886149 275274239994 321153279993 412911359991 444673772298 642306559986 825822719982 963459839979 1926919679958 2890379519937 5780759039874