Search a number
-
+
56165043022640 = 24553521129719603
BaseRepresentation
bin11001100010100111100010…
…11100000010101100110000
321100212022210102021001120022
430301103301130002230300
524330202002003211030
6315241510425103012
714554535060450366
oct1461236134025460
9240768712231508
1056165043022640
1116994508626202
1263711b3327a68
132545457a62846
14dc258c9ab636
15675ead188de5
hex3314f1702b30

56165043022640 has 160 divisors (see below), whose sum is σ = 133412521784256. Its totient is φ = 21981739253760.

The previous prime is 56165043022637. The next prime is 56165043022643. The reversal of 56165043022640 is 4622034056165.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56165043022637) and next prime (56165043022643).

It is a junction number, because it is equal to n+sod(n) for n = 56165043022591 and 56165043022600.

It is not an unprimeable number, because it can be changed into a prime (56165043022643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865115079 + ... + 2865134681.

Almost surely, 256165043022640 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 56165043022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66706260892128).

56165043022640 is an abundant number, since it is smaller than the sum of its proper divisors (77247478761616).

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

56165043022640 is a wasteful number, since it uses less digits than its factorization.

56165043022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21487 (or 21481 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 56165043022640 in words is "fifty-six trillion, one hundred sixty-five billion, forty-three million, twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 521 530 848 1042 1060 1297 2084 2120 2594 2605 4168 4240 5188 5210 6485 8336 10376 10420 12970 19603 20752 20840 25940 27613 39206 41680 51880 55226 68741 78412 98015 103760 110452 137482 138065 156824 196030 220904 274964 276130 313648 343705 392060 441808 549928 552260 675737 687410 784120 1038959 1099856 1104520 1351474 1374820 1568240 2077918 2209040 2702948 2749640 3378685 4155836 5194795 5405896 5499280 6757370 8311672 10213163 10389590 10811792 13514740 16623344 20426326 20779180 25425091 27029480 35814061 40852652 41558360 50850182 51065815 54058960 71628122 81705304 83116720 101700364 102131630 127125455 143256244 163410608 179070305 203400728 204263260 254250910 286512488 358140610 406801456 408526520 508501820 541297639 573024976 716281220 817053040 1017003640 1082595278 1347529823 1432562440 2034007280 2165190556 2695059646 2706488195 2865124880 4330381112 5390119292 5412976390 6737649115 8660762224 10780238584 10825952780 13246472411 13475298230 21560477168 21651905560 26492944822 26950596460 43303811120 52985889644 53901192920 66232362055 105971779288 107802385840 132464724110 211943558576 264929448220 529858896440 702063037783 1059717792880 1404126075566 2808252151132 3510315188915 5616504302264 7020630377830 11233008604528 14041260755660 28082521511320 56165043022640