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20454242000 = 245310227121
BaseRepresentation
bin10011000011001010…
…101111011011010000
31221210111021011010112
4103003022233123100
5313342241221000
613221353220452
71322606121413
oct230312573320
957714234115
1020454242000
118746982835
123b6a101728
131c0c82b39a
14dc0769b7a
157eaa96235
hex4c32af6d0

20454242000 has 40 divisors (see below), whose sum is σ = 49458361992. Its totient is φ = 8181696000.

The previous prime is 20454241999. The next prime is 20454242027. The reversal of 20454242000 is 24245402.

It can be written as a sum of positive squares in 4 ways, for example, as 23541904 + 20430700096 = 4852^2 + 142936^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5111561 + ... + 5115560.

Almost surely, 220454242000 is an apocalyptic number.

20454242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20454242000 is an abundant number, since it is smaller than the sum of its proper divisors (29004119992).

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

20454242000 is a wasteful number, since it uses less digits than its factorization.

20454242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227144 (or 10227128 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 20454242000 its reverse (24245402), we get a palindrome (20478487402).

The spelling of 20454242000 in words is "twenty billion, four hundred fifty-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10227121 20454242 40908484 51135605 81816968 102271210 163633936 204542420 255678025 409084840 511356050 818169680 1022712100 1278390125 2045424200 2556780250 4090848400 5113560500 10227121000 20454242000