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5305422505504 = 2511331178925453
BaseRepresentation
bin100110100110100001111…
…0100101110011000100000
3200210012020000102222022111
41031031003310232120200
51143411001130134004
615141135532445104
71055206213136452
oct115150364563040
920705200388274
105305422505504
111766020768470
12718287319794
132c63b74429c4
14144ad8b2c2d2
1593015e93a04
hex4d343d2e620

5305422505504 has 96 divisors (see below), whose sum is σ = 11435863158720. Its totient is φ = 2402831692800.

The previous prime is 5305422505463. The next prime is 5305422505529. The reversal of 5305422505504 is 4055052245035.

It is an unprimeable number.

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, 208427242 + ... + 208452694.

It is an arithmetic number, because the mean of its divisors is an integer number (119123574570).

Almost surely, 25305422505504 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 5305422505504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717931579360).

5305422505504 is an abundant number, since it is smaller than the sum of its proper divisors (6130440653216).

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

5305422505504 is a wasteful number, since it uses less digits than its factorization.

5305422505504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27594 (or 27586 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 40.

The spelling of 5305422505504 in words is "five trillion, three hundred five billion, four hundred twenty-two million, five hundred five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 1789 2648 3578 3641 5296 7156 7282 10592 14312 14564 19679 25453 28624 29128 39358 50906 57248 58256 78716 101812 116512 157432 203624 279983 314864 407248 559966 592159 629728 814496 1119932 1184318 2239864 2368636 4479728 4737272 6513749 8424943 8959456 9474544 13027498 16849886 18949088 26054996 33699772 45535417 52109992 67399544 91070834 92674373 104219984 134799088 182141668 185348746 208439968 269598176 364283336 370697492 500889587 728566672 741394984 1001779174 1457133344 1482789968 2003558348 2965579936 4007116696 8014233392 15072223027 16028466784 30144446054 60288892108 120577784216 165794453297 241155568432 331588906594 482311136864 663177813188 1326355626376 2652711252752 5305422505504