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20435513500 = 2253437611249
BaseRepresentation
bin10011000010000011…
…010011000010011100
31221202012000122110101
4103002003103002130
5313322442413000
613215443550444
71322260666363
oct230203230234
957665018411
1020435513500
118737350836
123b6398b424
131c089a192c
14dbc0927da
157e90e6e6a
hex4c20d309c

20435513500 has 96 divisors (see below), whose sum is σ = 45765720000. Its totient is φ = 7967232000.

The previous prime is 20435513419. The next prime is 20435513513. The reversal of 20435513500 is 531553402.

It is a super-2 number, since 2×204355135002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16360876 + ... + 16362124.

It is an arithmetic number, because the mean of its divisors is an integer number (476726250).

Almost surely, 220435513500 is an apocalyptic number.

20435513500 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 20435513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22882860000).

20435513500 is an abundant number, since it is smaller than the sum of its proper divisors (25330206500).

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

20435513500 is a wasteful number, since it uses less digits than its factorization.

20435513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 20435513500 in words is "twenty billion, four hundred thirty-five million, five hundred thirteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 761 860 1075 1249 1522 2150 2498 3044 3805 4300 4996 5375 6245 7610 10750 12490 15220 19025 21500 24980 31225 32723 38050 53707 62450 65446 76100 95125 107414 124900 130892 156125 163615 190250 214828 268535 312250 327230 380500 537070 624500 654460 818075 950489 1074140 1342675 1636150 1900978 2685350 3272300 3801956 4090375 4752445 5370700 6713375 8180750 9504890 13426750 16361500 19009780 23762225 26853500 40871027 47524450 81742054 95048900 118811125 163484108 204355135 237622250 408710270 475244500 817420540 1021775675 2043551350 4087102700 5108878375 10217756750 20435513500