Search a number
-
+
72411624116153 = 7232811600575233
BaseRepresentation
bin10000011101101110100101…
…001000100000111110111001
3100111101111001120212021101222
4100131232211020200332321
533442343001233204103
6414001235121521425
721152365356265430
oct2035564510407671
9314344046767358
1072411624116153
1121088663056873
128155a364a3275
133153504bc443a
1413c4a5420c117
158588d4b3e638
hex41dba5220fb9

72411624116153 has 16 divisors (see below), whose sum is σ = 86661545469696. Its totient is φ = 59157260574720.

The previous prime is 72411624116101. The next prime is 72411624116203. The reversal of 72411624116153 is 35161142611427.

It is not a de Polignac number, because 72411624116153 - 236 = 72342904639417 is a prime.

It is a super-3 number, since 3×724116241161533 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72411620116153) 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 15 ways as a sum of consecutive naturals, for example, 800242376 + ... + 800332857.

It is an arithmetic number, because the mean of its divisors is an integer number (5416346591856).

Almost surely, 272411624116153 is an apocalyptic number.

It is an amenable number.

72411624116153 is a deficient number, since it is larger than the sum of its proper divisors (14249921353543).

72411624116153 is a wasteful number, since it uses less digits than its factorization.

72411624116153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600575544.

The product of its digits is 241920, while the sum is 44.

The spelling of 72411624116153 in words is "seventy-two trillion, four hundred eleven billion, six hundred twenty-four million, one hundred sixteen thousand, one hundred fifty-three".

Divisors: 1 7 23 161 281 1967 6463 45241 1600575233 11204026631 36813230359 257692612513 449761640473 3148331483311 10344517730879 72411624116153