Search a number
-
+
72416175722716 = 2274783662981797
BaseRepresentation
bin10000011101110010110100…
…011011100001000011011100
3100111101220210210111211210211
4100131302310123201003130
533442431311441111331
6414003310514342204
721152616225304420
oct2035626433410334
9314356723454724
1072416175722716
112108a589345191
1281568a688a964
133153a7bb99667
1413c4d6690cb80
15858a9e5238b1
hex41dcb46e10dc

72416175722716 has 48 divisors (see below), whose sum is σ = 149695986134016. Its totient is φ = 30009208014144.

The previous prime is 72416175722713. The next prime is 72416175722747. The reversal of 72416175722716 is 61722757161427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416175722713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331381671 + ... + 331600126.

It is an arithmetic number, because the mean of its divisors is an integer number (3118666377792).

Almost surely, 272416175722716 is an apocalyptic number.

It is an amenable number.

72416175722716 is an abundant number, since it is smaller than the sum of its proper divisors (77279810411300).

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

72416175722716 is a wasteful number, since it uses less digits than its factorization.

72416175722716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662981938 (or 662981936 counting only the distinct ones).

The product of its digits is 13829760, while the sum is 58.

The spelling of 72416175722716 in words is "seventy-two trillion, four hundred sixteen billion, one hundred seventy-five million, seven hundred twenty-two thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 28 47 83 94 166 188 329 332 581 658 1162 1316 2324 3901 7802 15604 27307 54614 109228 662981797 1325963594 2651927188 4640872579 9281745158 18563490316 31160144459 55027489151 62320288918 110054978302 124640577836 218121011213 220109956604 385192424057 436242022426 770384848114 872484044852 1540769696228 2586291990097 5172583980194 10345167960388 18104043930679 36208087861358 72416175722716