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4945973658096 = 2434123931050229
BaseRepresentation
bin100011111111001001100…
…0000001100000111110000
3122111211102102000121001010
41013332103000030013300
51122013323224024341
614304052100310520
71020222560301222
oct107762300140760
918454372017033
104945973658096
111637637209219
1267a6906a2440
1329b53210bc13
1413155a406412
15889c9651716
hex47f9300c1f0

4945973658096 has 80 divisors (see below), whose sum is σ = 13094217228960. Its totient is φ = 1607773040640.

The previous prime is 4945973658091. The next prime is 4945973658097. The reversal of 4945973658096 is 6908563795494.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4945973658091) 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 15 ways as a sum of consecutive naturals, for example, 4184310 + ... + 5234538.

It is an arithmetic number, because the mean of its divisors is an integer number (163677715362).

Almost surely, 24945973658096 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 4945973658096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547108614480).

4945973658096 is an abundant number, since it is smaller than the sum of its proper divisors (8148243570864).

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

4945973658096 is a wasteful number, since it uses less digits than its factorization.

4945973658096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052674 (or 1052668 counting only the distinct ones).

The product of its (nonzero) digits is 1763596800, while the sum is 75.

The spelling of 4945973658096 in words is "four trillion, nine hundred forty-five billion, nine hundred seventy-three million, six hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 2393 4786 7179 9572 14358 19144 28716 38288 57432 98113 114864 196226 294339 392452 588678 784904 1050229 1177356 1569808 2100458 2354712 3150687 4200916 4709424 6301374 8401832 12602748 16803664 25205496 43059389 50410992 86118778 129178167 172237556 258356334 344475112 516712668 688950224 1033425336 2066850672 2513197997 5026395994 7539593991 10052791988 15079187982 20105583976 30158375964 40211167952 60316751928 103041117877 120633503856 206082235754 309123353631 412164471508 618246707262 824328943016 1236493414524 1648657886032 2472986829048 4945973658096