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61163606840480 = 255976615962109
BaseRepresentation
bin11011110100000110000110…
…00011110001010010100000
322000120011221220221120102122
431322003003003301102200
531004101031322343410
6334030101215203412
715611632124042534
oct1572030303612240
9260504856846378
1061163606840480
1118541381590861
126a39b00216568
13281891b41a481
141116497703bc4
15711014769e55
hex37a0c30f14a0

61163606840480 has 96 divisors (see below), whose sum is σ = 146209586680080. Its totient is φ = 24176586424320.

The previous prime is 61163606840477. The next prime is 61163606840491. The reversal of 61163606840480 is 8404860636116.

It can be written as a sum of positive squares in 8 ways, for example, as 46809844099984 + 14353762740496 = 6841772^2 + 3788636^2 .

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 15 ways as a sum of consecutive naturals, for example, 7277666 + ... + 13239774.

Almost surely, 261163606840480 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 61163606840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73104793340040).

61163606840480 is an abundant number, since it is smaller than the sum of its proper divisors (85045979839600).

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

61163606840480 is a wasteful number, since it uses less digits than its factorization.

61163606840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5962882 (or 5962874 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 61163606840480 in words is "sixty-one trillion, one hundred sixty-three billion, six hundred six million, eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 661 776 970 1322 1552 1940 2644 3104 3305 3880 5288 6610 7760 10576 13220 15520 21152 26440 52880 64117 105760 128234 256468 320585 512936 641170 1025872 1282340 2051744 2564680 5129360 5962109 10258720 11924218 23848436 29810545 47696872 59621090 95393744 119242180 190787488 238484360 476968720 578324573 953937440 1156649146 2313298292 2891622865 3940954049 4626596584 5783245730 7881908098 9253193168 11566491460 15763816196 18506386336 19704770245 23132982920 31527632392 39409540490 46265965840 63055264784 78819080980 92531931680 126110529568 157638161960 315276323920 382272542753 630552647840 764545085506 1529090171012 1911362713765 3058180342024 3822725427530 6116360684048 7645450855060 12232721368096 15290901710120 30581803420240 61163606840480