Search a number
-
+
72093093373 = 729678959557
BaseRepresentation
bin100001100100100010…
…1010100110111111101
320220002021212121012101
41003021011110313331
52140121312441443
653041421105101
75131351116460
oct1031105246775
9226067777171
1072093093373
1128635743104
1211b7b9b8191
136a4bc87942
1436bc9c52d7
151d1e26184d
hex10c9154dfd

72093093373 has 32 divisors (see below), whose sum is σ = 87478790400. Its totient is φ = 58111409664.

The previous prime is 72093093343. The next prime is 72093093377. The reversal of 72093093373 is 37339039027.

It is a de Polignac number, because none of the positive numbers 2k-72093093373 is a prime.

It is a super-2 number, since 2×720930933732 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72093093377) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1180711 + ... + 1240267.

It is an arithmetic number, because the mean of its divisors is an integer number (2733712200).

Almost surely, 272093093373 is an apocalyptic number.

It is an amenable number.

72093093373 is a deficient number, since it is larger than the sum of its proper divisors (15385697027).

72093093373 is a wasteful number, since it uses less digits than its factorization.

72093093373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59749.

The product of its (nonzero) digits is 642978, while the sum is 46.

The spelling of 72093093373 in words is "seventy-two billion, ninety-three million, ninety-three thousand, three hundred seventy-three".

Divisors: 1 7 29 67 89 203 469 623 1943 2581 5963 13601 18067 41741 59557 172927 416899 1210489 1727153 3990319 5300573 12090071 27932233 37104011 115719251 153716617 355138391 810034757 1076016319 2485968737 10299013339 72093093373