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1480788048390 = 235743316679769
BaseRepresentation
bin10101100011000101110…
…110000111101000000110
312020120011122221212122020
4111203011312013220012
5143230123220022030
63052133054544010
7211661210506560
oct25430566075006
95216148855566
101480788048390
11520aa9281832
121baba0b08006
13a983a0988c1
1451955cbc330
15287ba8e4510
hex158c5d87a06

1480788048390 has 128 divisors (see below), whose sum is σ = 4073829258240. Its totient is φ = 337447047168.

The previous prime is 1480788048359. The next prime is 1480788048401. The reversal of 1480788048390 is 938408870841.

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 63 ways as a sum of consecutive naturals, for example, 151575426 + ... + 151585194.

It is an arithmetic number, because the mean of its divisors is an integer number (31826791080).

Almost surely, 21480788048390 is an apocalyptic number.

1480788048390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480788048390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036914629120).

1480788048390 is an abundant number, since it is smaller than the sum of its proper divisors (2593041209850).

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

1480788048390 is a wasteful number, since it uses less digits than its factorization.

1480788048390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886.

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 1480788048390 in words is "one trillion, four hundred eighty billion, seven hundred eighty-eight million, forty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 433 866 1299 1667 2165 2598 3031 3334 4330 5001 6062 6495 8335 9093 9769 10002 11669 12990 15155 16670 18186 19538 23338 25005 29307 30310 35007 45465 48845 50010 58345 58614 68383 70014 90930 97690 116690 136766 146535 175035 205149 293070 341915 350070 410298 683830 721811 1025745 1443622 2051490 2165433 3609055 4229977 4330866 5052677 7218110 8459954 10105354 10827165 12689931 15158031 16284923 21149885 21654330 25263385 25379862 29609839 30316062 32569846 42299770 48854769 50526770 59219678 63449655 75790155 81424615 88829517 97709538 113994461 126899310 148049195 151580310 162849230 177659034 227988922 244273845 296098390 341983383 444147585 488547690 569972305 683966766 888295170 1139944610 1709916915 3419833830 7051371659 14102743318 21154114977 35256858295 42308229954 49359601613 70513716590 98719203226 105770574885 148078804839 211541149770 246798008065 296157609678 493596016130 740394024195 1480788048390