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20353344440 = 23511134917247
BaseRepresentation
bin10010111101001001…
…110110001110111000
31221112110102000200212
4102331021312032320
5313140424010230
613203350450252
71320242400422
oct227511661670
957473360625
1020353344440
1186a4a28a20
123b40363988
131bc49621a0
14db11c3812
157e1cb5895
hex4bd2763b8

20353344440 has 128 divisors (see below), whose sum is σ = 53918161920. Its totient is φ = 6817036800.

The previous prime is 20353344439. The next prime is 20353344461. The reversal of 20353344440 is 4444335302.

It is a junction number, because it is equal to n+sod(n) for n = 20353344397 and 20353344406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2804897 + ... + 2812143.

It is an arithmetic number, because the mean of its divisors is an integer number (421235640).

Almost surely, 220353344440 is an apocalyptic number.

20353344440 is a gapful number since it is divisible by the number (20) 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 20353344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26959080960).

20353344440 is an abundant number, since it is smaller than the sum of its proper divisors (33564817480).

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

20353344440 is a wasteful number, since it uses less digits than its factorization.

20353344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 20353344440 its reverse (4444335302), we get a palindrome (24797679742).

The spelling of 20353344440 in words is "twenty billion, three hundred fifty-three million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 491 520 572 715 982 1144 1430 1964 2455 2860 3928 4910 5401 5720 6383 7247 9820 10802 12766 14494 19640 21604 25532 27005 28988 31915 36235 43208 51064 54010 57976 63830 70213 72470 79717 94211 108020 127660 140426 144940 159434 188422 216040 255320 280852 289880 318868 351065 376844 398585 471055 561704 637736 702130 753688 797170 942110 1036321 1404260 1594340 1884220 2072642 2808520 3188680 3558277 3768440 4145284 5181605 7116554 8290568 10363210 14233108 17791385 20726420 28466216 35582770 39141047 41452840 46257601 71165540 78282094 92515202 142331080 156564188 185030404 195705235 231288005 313128376 370060808 391410470 462576010 508833611 782820940 925152020 1017667222 1565641880 1850304040 2035334444 2544168055 4070668888 5088336110 10176672220 20353344440