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82707103872120 = 23357137573910611
BaseRepresentation
bin10010110011100010111111…
…100010111111010001111000
3101211211201111021101100212210
4102303202333202333101320
541320033122042401440
6451523041411335120
723264251064301360
oct2263427742772170
9354751437340783
1082707103872120
1124397981a69912
1293392358b14a0
13371c328537540
14165d08bdc39a0
159866054a4a80
hex4b38bf8bf478

82707103872120 has 128 divisors (see below), whose sum is σ = 305380075875840. Its totient is φ = 17450290045440.

The previous prime is 82707103872079. The next prime is 82707103872139. The reversal of 82707103872120 is 2127830170728.

It is a self number, because there is not a number n which added to its sum of digits gives 82707103872120.

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, 3786944386 + ... + 3786966225.

It is an arithmetic number, because the mean of its divisors is an integer number (2385781842780).

Almost surely, 282707103872120 is an apocalyptic number.

It is an amenable number.

82707103872120 is an abundant number, since it is smaller than the sum of its proper divisors (222672972003720).

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

82707103872120 is a wasteful number, since it uses less digits than its factorization.

82707103872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573910645 (or 7573910641 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 82707103872120 in words is "eighty-two trillion, seven hundred seven billion, one hundred three million, eight hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 7573910611 15147821222 22721731833 30295642444 37869553055 45443463666 53017374277 60591284888 75739106110 90886927332 98460837943 106034748554 113608659165 151478212220 159052122831 181773854664 196921675886 212069497108 227217318330 265086871385 295382513829 302956424440 318104245662 393843351772 424138994216 454434636660 492304189715 530173742770 590765027658 636208491324 689225865601 787686703544 795260614155 908869273320 984608379430 1060347485540 1181530055316 1272416982648 1378451731202 1476912569145 1590521228310 1969216758860 2067677596803 2120694971080 2363060110632 2756903462404 2953825138290 3181042456620 3446129328005 3938433517720 4135355193606 5513806924808 5907650276580 6362084913240 6892258656010 8270710387212 10338387984015 11815300553160 13784517312020 16541420774424 20676775968030 27569034624040 41353551936060 82707103872120