Search a number
-
+
2720071369960 = 23574325399131
BaseRepresentation
bin100111100101010000111…
…000110100010011101000
3100122000222110011111010121
4213211100320310103220
5324031201232314320
65441330013253024
7400342622106130
oct47452070642350
910560873144117
102720071369960
1195963741583a
1237b202494174
1316966a107189
149591b737ac0
154ab4e1ec8aa
hex27950e344e8

2720071369960 has 192 divisors, whose sum is σ = 7296099338880. Its totient is φ = 893711669760.

The previous prime is 2720071369919. The next prime is 2720071369973. The reversal of 2720071369960 is 699631700272.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2720071369898 and 2720071369907.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 27389595 + ... + 27488725.

It is an arithmetic number, because the mean of its divisors is an integer number (38000517390).

Almost surely, 22720071369960 is an apocalyptic number.

2720071369960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2720071369960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648049669440).

2720071369960 is an abundant number, since it is smaller than the sum of its proper divisors (4576027968920).

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

2720071369960 is a wasteful number, since it uses less digits than its factorization.

2720071369960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99288 (or 99241 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 2720071369960 in words is "two trillion, seven hundred twenty billion, seventy-one million, three hundred sixty-nine thousand, nine hundred sixty".