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20351431520 = 255722979349
BaseRepresentation
bin10010111101000010…
…100011001101100000
31221112022210211122222
4102331002203031200
5313134431302040
613203241450212
71320220212410
oct227502431540
957468724588
1020351431520
1186a39417a2
123b3b7a0968
131bc4442594
14db0c46640
157e1a38bb5
hex4bd0a3360

20351431520 has 96 divisors (see below), whose sum is σ = 55189512000. Its totient is φ = 6947076096.

The previous prime is 20351431519. The next prime is 20351431543. The reversal of 20351431520 is 2513415302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20351431520.

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, 216806 + ... + 296154.

It is an arithmetic number, because the mean of its divisors is an integer number (574890750).

Almost surely, 220351431520 is an apocalyptic number.

20351431520 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 20351431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27594756000).

20351431520 is an abundant number, since it is smaller than the sum of its proper divisors (34838080480).

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

20351431520 is a wasteful number, since it uses less digits than its factorization.

20351431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79600 (or 79592 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 20351431520 its reverse (2513415302), we get a palindrome (22864846822).

The spelling of 20351431520 in words is "twenty billion, three hundred fifty-one million, four hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 229 280 458 560 916 1120 1145 1603 1832 2290 3206 3664 4580 6412 7328 8015 9160 12824 16030 18320 25648 32060 36640 51296 64120 79349 128240 158698 256480 317396 396745 555443 634792 793490 1110886 1269584 1586980 2221772 2539168 2777215 3173960 4443544 5554430 6347920 8887088 11108860 12695840 17774176 18170921 22217720 36341842 44435440 72683684 88870880 90854605 127196447 145367368 181709210 254392894 290734736 363418420 508785788 581469472 635982235 726836840 1017571576 1271964470 1453673680 2035143152 2543928940 2907347360 4070286304 5087857880 10175715760 20351431520