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6533421440 = 275713112181
BaseRepresentation
bin1100001010110110…
…00001100110000000
3121212022210012022212
412011123001212000
5101340023441230
63000145521252
7320622110630
oct60533014600
917768705285
106533421440
112852a45257
121324043228
13801753260
1445d9c46c0
152838a3895
hex1856c1980

6533421440 has 128 divisors (see below), whose sum is σ = 19223507520. Its totient is φ = 2067701760.

The previous prime is 6533421437. The next prime is 6533421467. The reversal of 6533421440 is 441243356.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6533421397 and 6533421406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2150 + ... + 114330.

Almost surely, 26533421440 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 6533421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9611753760).

6533421440 is an abundant number, since it is smaller than the sum of its proper divisors (12690086080).

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

6533421440 is a wasteful number, since it uses less digits than its factorization.

6533421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112220 (or 112208 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 6533421440 is about 80829.5827033642. The cubic root of 6533421440 is about 1869.4487246097.

Adding to 6533421440 its reverse (441243356), we get a palindrome (6974664796).

The spelling of 6533421440 in words is "six billion, five hundred thirty-three million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2912 3640 4160 4480 5824 7280 8320 11648 14560 29120 58240 112181 224362 448724 560905 785267 897448 1121810 1458353 1570534 1794896 2243620 2916706 3141068 3589792 3926335 4487240 5833412 6282136 7179584 7291765 7852670 8974480 10208471 11666824 12564272 14359168 14583530 15705340 17948960 20416942 23333648 25128544 29167060 31410680 35897920 40833884 46667296 50257088 51042355 58334120 62821360 71795840 81667768 93334592 100514176 102084710 116668240 125642720 163335536 186669184 204169420 233336480 251285440 326671072 408338840 466672960 502570880 653342144 816677680 933345920 1306684288 1633355360 3266710720 6533421440