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19529241408 = 2632123727409
BaseRepresentation
bin10010001100000010…
…001001001101000000
31212102000201020212100
4102030002021031000
5304443441211113
612545511230400
71260644545605
oct221402111500
955360636770
1019529241408
118311825136
123950378400
131ac2cc0461
14d339826ac
1579477bd73
hex48c089340

19529241408 has 84 divisors (see below), whose sum is σ = 56024340580. Its totient is φ = 6504247296.

The previous prime is 19529241349. The next prime is 19529241437. The reversal of 19529241408 is 80414292591.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6686005824 + 12843235584 = 81768^2 + 113328^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698808 + ... + 726216.

Almost surely, 219529241408 is an apocalyptic number.

19529241408 is a gapful number since it is divisible by the number (18) 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 19529241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28012170290).

19529241408 is an abundant number, since it is smaller than the sum of its proper divisors (36495099172).

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

19529241408 is a wasteful number, since it uses less digits than its factorization.

19529241408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28664 (or 28651 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19529241408 in words is "nineteen billion, five hundred twenty-nine million, two hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1237 2474 3711 4948 7422 9896 11133 14844 19792 22266 27409 29688 39584 44532 54818 59376 79168 82227 89064 109636 118752 164454 178128 219272 237504 246681 328908 356256 438544 493362 657816 712512 877088 986724 1315632 1754176 1973448 2631264 3946896 5262528 7893792 15787584 33904933 67809866 101714799 135619732 203429598 271239464 305144397 406859196 542478928 610288794 813718392 1084957856 1220577588 1627436784 2169915712 2441155176 3254873568 4882310352 6509747136 9764620704 19529241408