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54313105364640 = 25325231639888447
BaseRepresentation
bin11000101100101110000010…
…10110100001011010100000
321010022021121200211111101200
430112113001112201122200
524104331214433132030
6311303032434001200
714303664245212023
oct1426270126413240
9233267550744350
1054313105364640
1116340071047421
1261122b1116200
13243c91c4c0535
14d5aaa84011ba
15642c1daded60
hex3165c15a16a0

54313105364640 has 144 divisors (see below), whose sum is σ = 193401884003328. Its totient is φ = 13853777591808.

The previous prime is 54313105364593. The next prime is 54313105364647. The reversal of 54313105364640 is 4646350131345.

54313105364640 is a `hidden beast` number, since 5 + 4 + 3 + 1 + 31 + 0 + 536 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54313105364647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 819911104 + ... + 819977343.

It is an arithmetic number, because the mean of its divisors is an integer number (1343068638912).

Almost surely, 254313105364640 is an apocalyptic number.

It is an amenable number.

54313105364640 is an abundant number, since it is smaller than the sum of its proper divisors (139088778638688).

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

54313105364640 is a wasteful number, since it uses less digits than its factorization.

54313105364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639888491 (or 1639888480 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

Adding to 54313105364640 its reverse (4646350131345), we get a palindrome (58959455495985).

The spelling of 54313105364640 in words is "fifty-four trillion, three hundred thirteen billion, one hundred five million, three hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 1639888447 3279776894 4919665341 6559553788 8199442235 9839330682 13119107576 14758996023 16398884470 19678661364 24598326705 26238215152 29517992046 32797768940 37717434281 39357322728 49196653410 52476430304 59035984092 65595537880 73794980115 75434868562 78714645456 98393306820 113152302843 118071968184 131191075760 147589960230 150869737124 157429290912 188587171405 196786613640 226304605686 236143936368 262382151520 295179920460 301739474248 339456908529 377174342810 393573227280 452609211372 472287872736 565761514215 590359840920 603478948496 678913817058 754348685620 787146454560 905218422744 1131523028430 1180719681840 1206957896992 1357827634116 1508697371240 1697284542645 1810436845488 2263046056860 2361439363680 2715655268232 3017394742480 3394569085290 3620873690976 4526092113720 5431310536464 6034789484960 6789138170580 9052184227440 10862621072928 13578276341160 18104368454880 27156552682320 54313105364640