Search a number
-
+
51515348223136 = 257239999097093
BaseRepresentation
bin10111011011010010110100…
…00010000000010010100000
320202101211010012011220220011
423231221122002000102200
523223011413121120021
6301321454012454304
713564601231662660
oct1355513202002240
9222354105156804
1051515348223136
111546159a084706
125940029a7a394
132298b51868b05
14ca14db4221a0
155e50746a5de1
hex2eda5a0804a0

51515348223136 has 48 divisors (see below), whose sum is σ = 120949078449024. Its totient is φ = 21118093058304.

The previous prime is 51515348223109. The next prime is 51515348223167. The reversal of 51515348223136 is 63132284351515.

It is a super-2 number, since 2×515153482231362 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51515348223136.

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, 4999543395 + ... + 4999553698.

It is an arithmetic number, because the mean of its divisors is an integer number (2519772467688).

Almost surely, 251515348223136 is an apocalyptic number.

51515348223136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51515348223136 is an abundant number, since it is smaller than the sum of its proper divisors (69433730225888).

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

51515348223136 is a wasteful number, since it uses less digits than its factorization.

51515348223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9999097133 (or 9999097125 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 49.

The spelling of 51515348223136 in words is "fifty-one trillion, five hundred fifteen billion, three hundred forty-eight million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 9999097093 19998194186 39996388372 69993679651 79992776744 139987359302 159985553488 229979233139 279974718604 319971106976 459958466278 559949437208 919916932556 1119898874416 1609854631973 1839833865112 2239797748832 3219709263946 3679667730224 6439418527892 7359335460448 12878837055784 25757674111568 51515348223136