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20818513000 = 235323418893
BaseRepresentation
bin10011011000111000…
…010100110001101000
31222201212201001000001
4103120320110301220
5320114014404000
613321444552344
71334621304115
oct233070246150
958655631001
1020818513000
118913564a4a
1240500b26b4
131c6a14015c
141016cad90c
1581ca4d46a
hex4d8e14c68

20818513000 has 64 divisors (see below), whose sum is σ = 48741610320. Its totient is φ = 8322912000.

The previous prime is 20818512983. The next prime is 20818513031. The reversal of 20818513000 is 31581802.

It can be written as a sum of positive squares in 8 ways, for example, as 58890276 + 20759622724 = 7674^2 + 144082^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20818513000.

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, 2336554 + ... + 2345446.

Almost surely, 220818513000 is an apocalyptic number.

20818513000 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 20818513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24370805160).

20818513000 is an abundant number, since it is smaller than the sum of its proper divisors (27923097320).

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

20818513000 is a wasteful number, since it uses less digits than its factorization.

20818513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11241 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 20818513000 in words is "twenty billion, eight hundred eighteen million, five hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2341 4682 8893 9364 11705 17786 18728 23410 35572 44465 46820 58525 71144 88930 93640 117050 177860 222325 234100 292625 355720 444650 468200 585250 889300 1111625 1170500 1778600 2223250 2341000 4446500 8893000 20818513 41637026 83274052 104092565 166548104 208185130 416370260 520462825 832740520 1040925650 2081851300 2602314125 4163702600 5204628250 10409256500 20818513000