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20663010000 = 243254229589
BaseRepresentation
bin10011001111100111…
…001000001011010000
31222100001002122222200
4103033213020023100
5314304212310000
613254212003200
71331022454443
oct231747101320
958301078880
1020663010000
118843804276
124008000500
131c43b65549
14100039165a
1580e083500
hex4cf9c82d0

20663010000 has 150 divisors (see below), whose sum is σ = 72261845370. Its totient is φ = 5510112000.

The previous prime is 20663009981. The next prime is 20663010019. The reversal of 20663010000 is 1036602.

It is a happy number.

20663010000 is a `hidden beast` number, since 2 + 0 + 663 + 0 + 1 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20663009981) and next prime (20663010019).

It can be written as a sum of positive squares in 5 ways, for example, as 8173606464 + 12489403536 = 90408^2 + 111756^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 24795 + ... + 204794.

Almost surely, 220663010000 is an apocalyptic number.

20663010000 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 20663010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36130922685).

20663010000 is an abundant number, since it is smaller than the sum of its proper divisors (51598835370).

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

20663010000 is a wasteful number, since it uses less digits than its factorization.

20663010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229623 (or 229599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20663010000 its reverse (1036602), we get a palindrome (20664046602).

The spelling of 20663010000 in words is "twenty billion, six hundred sixty-three million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 229589 459178 688767 918356 1147945 1377534 1836712 2066301 2295890 2755068 3443835 3673424 4132602 4591780 5510136 5739725 6887670 8265204 9183560 10331505 11020272 11479450 13775340 16530408 17219175 18367120 20663010 22958900 27550680 28698625 33060816 34438350 41326020 45917800 51657525 55101360 57397250 68876700 82652040 86095875 91835600 103315050 114794500 137753400 143493125 165304080 172191750 206630100 229589000 258287625 275506800 286986250 344383500 413260200 430479375 459178000 516575250 573972500 688767000 826520400 860958750 1033150500 1147945000 1291438125 1377534000 1721917500 2066301000 2295890000 2582876250 3443835000 4132602000 5165752500 6887670000 10331505000 20663010000