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40605936680790 = 23351331277369877
BaseRepresentation
bin10010011101110010011100…
…11011100111111101010110
312022202220000112200200212000
421032321032123213331112
520310241424242241130
6222210035414140130
711360452651620015
oct1116711633477526
9168686015620760
1040605936680790
1111a35976730828
124679852051646
13198717b151030
14a054a2da8a7c
154a63c0d66260
hex24ee4e6e7f56

40605936680790 has 128 divisors (see below), whose sum is σ = 116615964366720. Its totient is φ = 9994960894464.

The previous prime is 40605936680719. The next prime is 40605936680807. The reversal of 40605936680790 is 9708663950604.

40605936680790 is a `hidden beast` number, since 4 + 0 + 60 + 59 + 366 + 80 + 7 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109597332 + ... + 109967208.

It is an arithmetic number, because the mean of its divisors is an integer number (911062221615).

Almost surely, 240605936680790 is an apocalyptic number.

40605936680790 is an abundant number, since it is smaller than the sum of its proper divisors (76010027685930).

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

40605936680790 is a wasteful number, since it uses less digits than its factorization.

40605936680790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401183 (or 401177 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 40605936680790 in words is "forty trillion, six hundred five billion, nine hundred thirty-six million, six hundred eighty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 31277 62554 93831 156385 187662 281493 312770 369877 406601 469155 562986 739754 813202 844479 938310 1109631 1219803 1407465 1688958 1849385 2033005 2219262 2439606 2814930 3328893 3659409 3698770 4066010 4222395 4808401 5548155 6099015 6657786 7318818 8444790 9616802 9986679 10978227 11096310 12198030 14425203 16644465 18297045 19973358 21956454 24042005 28850406 33288930 36594090 43275609 48084010 49933395 54891135 72126015 86551218 99866790 109782270 129826827 144252030 216378045 259653654 432756090 649134135 1298268270 11568642929 23137285858 34705928787 57843214645 69411857574 104117786361 115686429290 150392358077 173529643935 208235572722 300784716154 312353359083 347059287870 451177074231 520588931805 624706718166 751961790385 902354148462 1041177863610 1353531222693 1503923580770 1561766795415 2255885371155 2707062445386 3123533590830 4060593668079 4511770742310 6767656113465 8121187336158 13535312226930 20302968340395 40605936680790