Search a number
-
+
72540412663220 = 2253824579483473
BaseRepresentation
bin10000011111100110100001…
…100001110101010110110100
3100111211210111002020100000122
4100133212201201311112310
534002000231120210340
6414140334443231112
721164605023004145
oct2037464141652664
9314753432210018
1072540412663220
1121128241907427
128176999518498
1331626baac47c8
1413cad90845acc
1585be21453db5
hex41f9a18755b4

72540412663220 has 24 divisors (see below), whose sum is σ = 152335280961864. Its totient is φ = 29016086137856.

The previous prime is 72540412663181. The next prime is 72540412663247. The reversal of 72540412663220 is 2236621404527.

It can be written as a sum of positive squares in 4 ways, for example, as 2719715512336 + 69820697150884 = 1649156^2 + 8355878^2 .

It is a super-2 number, since 2×725404126632202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2907404 + ... + 12390876.

It is an arithmetic number, because the mean of its divisors is an integer number (6347303373411).

Almost surely, 272540412663220 is an apocalyptic number.

It is an amenable number.

72540412663220 is an abundant number, since it is smaller than the sum of its proper divisors (79794868298644).

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

72540412663220 is a wasteful number, since it uses less digits than its factorization.

72540412663220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865939 (or 9865937 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 72540412663220 in words is "seventy-two trillion, five hundred forty billion, four hundred twelve million, six hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 382457 764914 1529828 1912285 3824570 7649140 9483473 18966946 37933892 47417365 94834730 189669460 3627020633161 7254041266322 14508082532644 18135103165805 36270206331610 72540412663220