Search a number
-
+
2474793260160 = 273513142369677
BaseRepresentation
bin100100000000110101001…
…011000101010010000000
322202120212121010111122120
4210000311023011102000
5311021334033311120
65132523200204240
7343540453425114
oct44006513052200
98676777114576
102474793260160
11874610306591
1233b76b309680
1314c4ab3a1970
1487ad00b1744
1544595c02140
hex240352c5480

2474793260160 has 256 divisors, whose sum is σ = 8501295720960. Its totient is φ = 608743047168.

The previous prime is 2474793260153. The next prime is 2474793260231. The reversal of 2474793260160 is 610623974742.

It is a happy number.

It is a super-2 number, since 2×24747932601602 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35483242 + ... + 35552918.

It is an arithmetic number, because the mean of its divisors is an integer number (33208186410).

Almost surely, 22474793260160 is an apocalyptic number.

2474793260160 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 2474793260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250647860480).

2474793260160 is an abundant number, since it is smaller than the sum of its proper divisors (6026502460800).

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

2474793260160 is a wasteful number, since it uses less digits than its factorization.

2474793260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71135 (or 71123 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The spelling of 2474793260160 in words is "two trillion, four hundred seventy-four billion, seven hundred ninety-three million, two hundred sixty thousand, one hundred sixty".