Search a number
-
+
76001110230032 = 2413365389953029
BaseRepresentation
bin10001010001111101100011…
…001011011000010000010000
3100222002122011001020211222122
4101101331203023120100100
534430200233204330112
6425350232242353412
722002620234655401
oct2121754313302020
9328078131224878
1076001110230032
112224198741a859
12863563605b868
133353b49089940
1414aa68ac979a8
158bbe6b185872
hex451f632d8410

76001110230032 has 20 divisors (see below), whose sum is σ = 158579239615020. Its totient is φ = 35077435490688.

The previous prime is 76001110229951. The next prime is 76001110230049. The reversal of 76001110230032 is 23003201110067.

It can be written as a sum of positive squares in 2 ways, for example, as 45199320625936 + 30801789604096 = 6723044^2 + 5549936^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 76001110229983 and 76001110230010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182694976307 + ... + 182694976722.

It is an arithmetic number, because the mean of its divisors is an integer number (7928961980751).

Almost surely, 276001110230032 is an apocalyptic number.

It is an amenable number.

76001110230032 is an abundant number, since it is smaller than the sum of its proper divisors (82578129384988).

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

76001110230032 is a wasteful number, since it uses less digits than its factorization.

76001110230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365389953050 (or 365389953044 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 76001110230032 its reverse (23003201110067), we get a palindrome (99004311340099).

The spelling of 76001110230032 in words is "seventy-six trillion, one billion, one hundred ten million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 365389953029 730779906058 1461559812116 2923119624232 4750069389377 5846239248464 9500138778754 19000277557508 38000555115016 76001110230032