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4164921244624 = 247196313101743
BaseRepresentation
bin111100100110111000101…
…001101011101111010000
3112202011101112002222102111
4330212320221223233100
51021214224314311444
612505201032355104
7606622426313230
oct74467051535720
915664345088374
104164921244624
111366373510748
12573233845a94
1324299a7ab20a
14105824693cc0
15735149e4234
hex3c9b8a6bbd0

4164921244624 has 80 divisors (see below), whose sum is σ = 9723098951680. Its totient is φ = 1688340205440.

The previous prime is 4164921244621. The next prime is 4164921244669. The reversal of 4164921244624 is 4264421294614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164921244621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208104 + ... + 2893639.

It is an arithmetic number, because the mean of its divisors is an integer number (121538736896).

Almost surely, 24164921244624 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 4164921244624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861549475840).

4164921244624 is an abundant number, since it is smaller than the sum of its proper divisors (5558177707056).

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

4164921244624 is a wasteful number, since it uses less digits than its factorization.

4164921244624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102408 (or 3102402 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 49.

The spelling of 4164921244624 in words is "four trillion, one hundred sixty-four billion, nine hundred twenty-one million, two hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 631 1064 1262 2128 2524 4417 5048 8834 10096 11989 17668 23978 35336 47956 70672 83923 95912 167846 191824 335692 671384 1342768 3101743 6203486 12406972 21712201 24813944 43424402 49627888 58933117 86848804 117866234 173697608 235732468 347395216 412531819 471464936 825063638 942929872 1650127276 1957199833 3300254552 3914399666 6600509104 7828799332 13700398831 15657598664 27400797662 31315197328 37186796827 54801595324 74373593654 109603190648 148747187308 219206381296 260307577789 297494374616 520615155578 594988749232 1041230311156 2082460622312 4164921244624