Search a number
-
+
75171319672072 = 2313748196618253
BaseRepresentation
bin10001000101111000101111…
…110011100110110100001000
3100212011022022111220222002111
4101011320233303212310020
534323101330314001242
6423513121051112104
721555643243415611
oct2105705763466410
9325138274828074
1075171319672072
1121a51a83273a28
128520856a42634
1332c381825a0a0
14147c450246c08
158a55a283b817
hex445e2fce6d08

75171319672072 has 32 divisors (see below), whose sum is σ = 151808533049880. Its totient is φ = 34689817198080.

The previous prime is 75171319672063. The next prime is 75171319672073. The reversal of 75171319672072 is 27027691317157.

It can be written as a sum of positive squares in 4 ways, for example, as 61828561776996 + 13342757895076 = 7863114^2 + 3652774^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75171319671998 and 75171319672016.

It is not an unprimeable number, because it can be changed into a prime (75171319672073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47531103 + ... + 49087150.

Almost surely, 275171319672072 is an apocalyptic number.

It is an amenable number.

75171319672072 is an abundant number, since it is smaller than the sum of its proper divisors (76637213377808).

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

75171319672072 is a wasteful number, since it uses less digits than its factorization.

75171319672072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96625753 (or 96625749 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 58.

The spelling of 75171319672072 in words is "seventy-five trillion, one hundred seventy-one billion, three hundred nineteen million, six hundred seventy-two thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 7481 14962 29924 59848 97253 194506 389012 778024 96618253 193236506 386473012 772946024 1256037289 2512074578 5024149156 10048298312 722801150693 1445602301386 2891204602772 5782409205544 9396414959009 18792829918018 37585659836036 75171319672072