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61055357914000 = 24531712131480417
BaseRepresentation
bin11011110000111100011101…
…11010111000101110010000
322000011211112212111100100101
431320132032322320232100
531000312333111222000
6333504235541102144
715601050454252642
oct1570361672705620
9260154485440311
1061055357914000
11184aa48291814a
126a20b2b9b7954
13280b65993ca58
141111148cdc892
1570d2cb263e6a
hex37878eeb8b90

61055357914000 has 160 divisors (see below), whose sum is σ = 156445055241696. Its totient is φ = 22966581657600.

The previous prime is 61055357913959. The next prime is 61055357914043. The reversal of 61055357914000 is 41975355016.

It can be written as a sum of positive squares in 16 ways, for example, as 46078953269904 + 14976404644096 = 6788148^2 + 3869936^2 .

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, 40501792 + ... + 41982208.

Almost surely, 261055357914000 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 61055357914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78222527620848).

61055357914000 is an abundant number, since it is smaller than the sum of its proper divisors (95389697327696).

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

61055357914000 is a wasteful number, since it uses less digits than its factorization.

61055357914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481670 (or 1481654 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 46.

The spelling of 61055357914000 in words is "sixty-one trillion, fifty-five billion, three hundred fifty-seven million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1213 1360 1700 2000 2125 2426 3400 4250 4852 6065 6800 8500 9704 12130 17000 19408 20621 24260 30325 34000 41242 48520 60650 82484 97040 103105 121300 151625 164968 206210 242600 303250 329936 412420 485200 515525 606500 824840 1031050 1213000 1480417 1649680 2062100 2426000 2577625 2960834 4124200 5155250 5921668 7402085 8248400 10310500 11843336 14804170 20621000 23686672 25167089 29608340 37010425 41242000 50334178 59216680 74020850 100668356 118433360 125835445 148041700 185052125 201336712 251670890 296083400 370104250 402673424 503341780 592166800 629177225 740208500 1006683560 1258354450 1480417000 1795745821 2013367120 2516708900 2960834000 3145886125 3591491642 5033417800 6291772250 7182983284 8978729105 10066835600 12583544500 14365966568 17957458210 25167089000 28731933136 30527678957 35914916420 44893645525 50334178000 61055357914 71829832840 89787291050 122110715828 143659665680 152638394785 179574582100 224468227625 244221431656 305276789570 359149164200 448936455250 488442863312 610553579140 718298328400 763191973925 897872910500 1221107158280 1526383947850 1795745821000 2442214316560 3052767895700 3591491642000 3815959869625 6105535791400 7631919739250 12211071582800 15263839478500 30527678957000 61055357914000