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10127335714680 = 23352919373150217
BaseRepresentation
bin1001001101011111010000…
…1111110110111101111000
31022212011102102211210002010
42103113310033312331320
52311411240420332210
633312233411205520
72063450551145052
oct223276417667570
938764372753063
1010127335714680
113254a84aa0158
1211768b42a68a0
1358600806c762
142702468208d2
1512867de28920
hex935f43f6f78

10127335714680 has 128 divisors (see below), whose sum is σ = 31431494145600. Its totient is φ = 2607345979392.

The previous prime is 10127335714679. The next prime is 10127335714693. The reversal of 10127335714680 is 8641753372101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67342932 + ... + 67493148.

Almost surely, 210127335714680 is an apocalyptic number.

10127335714680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10127335714680 is an abundant number, since it is smaller than the sum of its proper divisors (21304158430920).

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

10127335714680 is a wasteful number, since it uses less digits than its factorization.

10127335714680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169633 (or 169629 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 10127335714680 in words is "ten trillion, one hundred twenty-seven billion, three hundred thirty-five million, seven hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 19373 38746 58119 77492 96865 116238 150217 154984 193730 232476 290595 300434 387460 450651 464952 561817 581190 600868 751085 774920 901302 1123634 1162380 1201736 1502170 1685451 1802604 2247268 2253255 2324760 2809085 3004340 3370902 3605208 4356293 4494536 4506510 5618170 6008680 6741804 8427255 8712586 9013020 11236340 13068879 13483608 16854510 17425172 18026040 21781465 22472680 26137758 33709020 34850344 43562930 52275516 65344395 67418040 87125860 104551032 130688790 174251720 261377580 522755160 2910153941 5820307882 8730461823 11640615764 14550769705 17460923646 23281231528 29101539410 34921847292 43652309115 58203078820 69843694584 84394464289 87304618230 116406157640 168788928578 174609236460 253183392867 337577857156 349218472920 421972321445 506366785734 675155714312 843944642890 1012733571468 1265916964335 1687889285780 2025467142936 2531833928670 3375778571560 5063667857340 10127335714680