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4425247711764 = 22321173167916649
BaseRepresentation
bin100000001100101010101…
…0100010110001000010100
3120200001100010021201101200
41000121111110112020110
51040000401403234024
613224533012152500
7634466522630205
oct100312524261024
916601303251350
104425247711764
111456811a70560
125b5786608730
132613b7091299
1411427c72b5ac
157a19e1a72c9
hex40655516214

4425247711764 has 144 divisors (see below), whose sum is σ = 12444205737600. Its totient is φ = 1314693227520.

The previous prime is 4425247711733. The next prime is 4425247711777. The reversal of 4425247711764 is 4671177425244.

4425247711764 is a `hidden beast` number, since 4 + 4 + 2 + 52 + 477 + 117 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4425247711764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4369312 + ... + 5285960.

It is an arithmetic number, because the mean of its divisors is an integer number (86418095400).

Almost surely, 24425247711764 is an apocalyptic number.

4425247711764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4425247711764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222102868800).

4425247711764 is an abundant number, since it is smaller than the sum of its proper divisors (8018958025836).

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

4425247711764 is a wasteful number, since it uses less digits than its factorization.

4425247711764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916910 (or 916905 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 4425247711764 in words is "four trillion, four hundred twenty-five billion, two hundred forty-seven million, seven hundred eleven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 167 198 219 292 334 396 438 501 657 668 803 876 1002 1314 1503 1606 1837 2004 2409 2628 3006 3212 3674 4818 5511 6012 7227 7348 9636 11022 12191 14454 16533 22044 24382 28908 33066 36573 48764 66132 73146 109719 134101 146292 219438 268202 402303 438876 536404 804606 916649 1206909 1609212 1833298 2413818 2749947 3666596 4827636 5499894 8249841 10083139 10999788 16499682 20166278 30249417 32999364 40332556 60498834 66915377 90748251 120997668 133830754 153080383 181496502 200746131 267661508 306160766 362993004 401492262 459241149 602238393 612321532 736069147 802984524 918482298 1204476786 1377723447 1472138294 1683884213 1836964596 2208207441 2408953572 2755446894 2944276588 3367768426 4416414882 5051652639 5510893788 6624622323 6735536852 8832829764 10103305278 11174867959 13249244646 15154957917 20206610556 22349735918 26498489292 30309915834 33524603877 44699471836 60619831668 67049207754 100573811631 122923547549 134098415508 201147623262 245847095098 368770642647 402295246524 491694190196 737541285294 1106311927941 1475082570588 2212623855882 4425247711764