Search a number
-
+
20353510520 = 23572314232221
BaseRepresentation
bin10010111101001010…
…011110110001111000
31221112110201110111222
4102331022132301320
5313140444314040
613203354211212
71320243661550
oct227512366170
957473643458
1020353510520
1186a5031782
123b40423b08
131bc49bc965
14db1228160
157e1ce9bb5
hex4bd29ec78

20353510520 has 128 divisors (see below), whose sum is σ = 54676131840. Its totient is φ = 6667246080.

The previous prime is 20353510511. The next prime is 20353510531. The reversal of 20353510520 is 2501535302.

It is a self number, because there is not a number n which added to its sum of digits gives 20353510520.

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, 9163010 + ... + 9165230.

It is an arithmetic number, because the mean of its divisors is an integer number (427157280).

Almost surely, 220353510520 is an apocalyptic number.

20353510520 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 20353510520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27338065920).

20353510520 is an abundant number, since it is smaller than the sum of its proper divisors (34322621320).

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

20353510520 is a wasteful number, since it uses less digits than its factorization.

20353510520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3685 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The spelling of 20353510520 in words is "twenty billion, three hundred fifty-three million, five hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1423 1610 2221 2846 3220 4442 5692 6440 7115 8884 9961 11105 11384 14230 15547 17768 19922 22210 28460 31094 32729 39844 44420 49805 51083 56920 62188 65458 77735 79688 88840 99610 102166 124376 130916 155470 163645 199220 204332 229103 255415 261832 310940 327290 357581 398440 408664 458206 510830 621880 654580 715162 916412 1021660 1145515 1309160 1430324 1787905 1832824 2043320 2291030 2860648 3160483 3575810 4582060 6320966 7151620 9164120 12641932 14303240 15802415 22123381 25283864 31604830 44246762 63209660 72691109 88493524 110616905 126419320 145382218 176987048 221233810 290764436 363455545 442467620 508837763 581528872 726911090 884935240 1017675526 1453822180 2035351052 2544188815 2907644360 4070702104 5088377630 10176755260 20353510520