Search a number
-
+
2991263419620 = 2234571009261427
BaseRepresentation
bin101011100001110101001…
…100011000110011100100
3101120221222021212000020000
4223201311030120303210
5343002101413411440
610210100100141300
7426053203356210
oct53416514306344
911527867760200
102991263419620
11a53651244613
12403888097830
131890c8810508
14a4ac6891940
1552c2274c730
hex2b875318ce4

2991263419620 has 240 divisors, whose sum is σ = 10734902935680. Its totient is φ = 683037121536.

The previous prime is 2991263419609. The next prime is 2991263419633. The reversal of 2991263419620 is 269143621992.

2991263419620 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 2 + 6 + 3 + 4 + 1 + 9 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11311347 + ... + 11572773.

It is an arithmetic number, because the mean of its divisors is an integer number (44728762232).

Almost surely, 22991263419620 is an apocalyptic number.

2991263419620 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 2991263419620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5367451467840).

2991263419620 is an abundant number, since it is smaller than the sum of its proper divisors (7743639516060).

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

2991263419620 is a wasteful number, since it uses less digits than its factorization.

2991263419620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262464 (or 262453 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 2991263419620 in words is "two trillion, nine hundred ninety-one billion, two hundred sixty-three million, four hundred nineteen thousand, six hundred twenty".