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20145343392 = 2532139503231
BaseRepresentation
bin10010110000110000…
…011000101110100000
31220222222000110220100
4102300300120232200
5312224201442032
613131000342400
71312135410366
oct226060305640
956888013810
1020145343392
1185a8580729
123aa2774a00
131b90836145
14d9171b636
157cd8ca97c
hex4b0c18ba0

20145343392 has 72 divisors (see below), whose sum is σ = 57700581120. Its totient is φ = 6666791040.

The previous prime is 20145343381. The next prime is 20145343411. The reversal of 20145343392 is 29334354102.

20145343392 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 534 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 211584 + ... + 291647.

It is an arithmetic number, because the mean of its divisors is an integer number (801396960).

Almost surely, 220145343392 is an apocalyptic number.

It is an amenable number.

20145343392 is an abundant number, since it is smaller than the sum of its proper divisors (37555237728).

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

20145343392 is a wasteful number, since it uses less digits than its factorization.

20145343392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503386 (or 503375 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 20145343392 its reverse (29334354102), we get a palindrome (49479697494).

The spelling of 20145343392 in words is "twenty billion, one hundred forty-five million, three hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 10008 13344 20016 40032 503231 1006462 1509693 2012924 3019386 4025848 4529079 6038772 8051696 9058158 12077544 16103392 18116316 24155088 36232632 48310176 69949109 72465264 139898218 144930528 209847327 279796436 419694654 559592872 629541981 839389308 1119185744 1259083962 1678778616 2238371488 2518167924 3357557232 5036335848 6715114464 10072671696 20145343392