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641356661062344 = 2331753124092390159
BaseRepresentation
bin1001000111010011110111101…
…1111101001111101011001000
310010002212002122102221211121110
42101310331323331033223020
51133030441420212443334
610152015103235410320
7252043326643146063
oct22164757375175310
93102762572854543
10641356661062344
111763a0918043a57
125bb232741539a0
13216b389ac62536
14b453b841518da
154e2325a36cae9
hex2474f7bf4fac8

641356661062344 has 128 divisors (see below), whose sum is σ = 1729881168192000. Its totient is φ = 197397527568384.

The previous prime is 641356661062333. The next prime is 641356661062357. The reversal of 641356661062344 is 443260166653146.

It is a super-2 number, since 2×6413566610623442 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267137137 + ... + 269527295.

It is an arithmetic number, because the mean of its divisors is an integer number (13514696626500).

Almost surely, 2641356661062344 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 641356661062344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864940584096000).

641356661062344 is an abundant number, since it is smaller than the sum of its proper divisors (1088524507129656).

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

641356661062344 is a wasteful number, since it uses less digits than its factorization.

641356661062344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402647 (or 2402643 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 57.

The spelling of 641356661062344 in words is "six hundred forty-one trillion, three hundred fifty-six billion, six hundred sixty-one million, sixty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 5406 7208 10812 12409 21624 24818 37227 49636 74454 99272 148908 210953 297816 421906 632859 657677 843812 1265718 1315354 1687624 1973031 2390159 2531436 2630708 3946062 4780318 5062872 5261416 7170477 7892124 9560636 11180509 14340954 15784248 19121272 22361018 28681908 33541527 40632703 44722036 57363816 67083054 81265406 89444072 121898109 126678427 134166108 162530812 243796218 253356854 268332216 325061624 380035281 487592436 506713708 760070562 975184872 1013427416 1520141124 2153533259 3040282248 4307066518 6460599777 8614133036 12921199554 17228266072 25842399108 29659483031 51684798216 59318966062 88978449093 118637932124 177956898186 237275864248 355913796372 504211211527 711827592744 1008422423054 1512633634581 1571952600643 2016844846108 3025267269162 3143905201286 4033689692216 4715857801929 6050534538324 6287810402572 9431715603858 12101069076648 12575620805144 18863431207716 26723194210931 37726862415432 53446388421862 80169582632793 106892776843724 160339165265586 213785553687448 320678330531172 641356661062344