Search a number
-
+
20003150246544 = 2432607272287463
BaseRepresentation
bin1001000110001010110001…
…01010100011001010010000
32121211021121221012121111200
410203011120222203022100
510110212422430342134
6110313153110511200
74133115465462063
oct443053052431220
977737557177450
1020003150246544
116412319918983
1222b08b2665500
13b2139ab5244a
144d222c7b48da
1524a4db707499
hex123158aa3290

20003150246544 has 60 divisors (see below), whose sum is σ = 55981984858176. Its totient is φ = 6667604035776.

The previous prime is 20003150246537. The next prime is 20003150246561. The reversal of 20003150246544 is 44564205130002.

20003150246544 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 3 + 150 + 2 + 465 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20003150246499 and 20003150246508.

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 11 ways as a sum of consecutive naturals, for example, 7600957 + ... + 9888419.

Almost surely, 220003150246544 is an apocalyptic number.

20003150246544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20003150246544 is an abundant number, since it is smaller than the sum of its proper divisors (35978834611632).

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

20003150246544 is a wasteful number, since it uses less digits than its factorization.

20003150246544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348204 (or 2348195 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20003150246544 its reverse (44564205130002), we get a palindrome (64567355376546).

The spelling of 20003150246544 in words is "twenty trillion, three billion, one hundred fifty million, two hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 60727 121454 182181 242908 364362 485816 546543 728724 971632 1093086 1457448 2186172 2287463 2914896 4372344 4574926 6862389 8744688 9149852 13724778 18299704 20587167 27449556 36599408 41174334 54899112 82348668 109798224 164697336 329394672 138910765601 277821531202 416732296803 555643062404 833464593606 1111286124808 1250196890409 1666929187212 2222572249616 2500393780818 3333858374424 5000787561636 6667716748848 10001575123272 20003150246544