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41263789041664 = 21175035722333
BaseRepresentation
bin10010110000111011110010…
…11111001110100000000000
312102002210001101222012001121
421120131321133032200000
520402031214443313124
6223432153433242024
711456132105463130
oct1130357137164000
9172083041865047
1041263789041664
1112169969195312
124765247563314
131a0420a60ac27
14a2926c7b4ac0
154b8574b0e2e4
hex2587797ce800

41263789041664 has 96 divisors (see below), whose sum is σ = 94481685567360. Its totient is φ = 17649319919616.

The previous prime is 41263789041659. The next prime is 41263789041707. The reversal of 41263789041664 is 46614098736214.

It is a happy number.

It is a super-3 number, since 3×412637890416643 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4349842 + ... + 10072174.

It is an arithmetic number, because the mean of its divisors is an integer number (984184224660).

Almost surely, 241263789041664 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 41263789041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47240842783680).

41263789041664 is an abundant number, since it is smaller than the sum of its proper divisors (53217896525696).

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

41263789041664 is an equidigital number, since it uses as much as digits as its factorization.

41263789041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722865 (or 5722845 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 41263789041664 in words is "forty-one trillion, two hundred sixty-three billion, seven hundred eighty-nine million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 503 512 896 1006 1024 1792 2012 2048 3521 3584 4024 7042 7168 8048 14084 14336 16096 28168 32192 56336 64384 112672 128768 225344 257536 450688 515072 901376 1030144 1802752 3605504 5722333 7211008 11444666 22889332 40056331 45778664 80112662 91557328 160225324 183114656 320450648 366229312 640901296 732458624 1281802592 1464917248 2563605184 2878333499 2929834496 5127210368 5756666998 5859668992 10254420736 11513333996 11719337984 20148334493 20508841472 23026667992 40296668986 41017682944 46053335984 80593337972 82035365888 92106671968 161186675944 184213343936 322373351888 368426687872 644746703776 736853375744 1289493407552 1473706751488 2578986815104 2947413502976 5157973630208 5894827005952 10315947260416 20631894520832 41263789041664