Search a number
-
+
291421245960 = 2334513127157347
BaseRepresentation
bin1000011110110100000…
…11110101001000001000
31000212012122111011120000
410033122003311020020
514233312314332320
6341513240403000
730024455501535
oct4173203651010
91025178434500
10291421245960
11102655772429
1248590476460
132163371b4a0
1410167a61d8c
1578a9490c90
hex43da0f5208

291421245960 has 640 divisors, whose sum is σ = 1073006161920. Its totient is φ = 70512519168.

The previous prime is 291421245959. The next prime is 291421245989. The reversal of 291421245960 is 69542124192.

291421245960 is a `hidden beast` number, since 2 + 9 + 1 + 42 + 12 + 4 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 839830507 + ... + 839830853.

It is an arithmetic number, because the mean of its divisors is an integer number (1676572128).

Almost surely, 2291421245960 is an apocalyptic number.

291421245960 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 291421245960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536503080960).

291421245960 is an abundant number, since it is smaller than the sum of its proper divisors (781584915960).

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

291421245960 is a wasteful number, since it uses less digits than its factorization.

291421245960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 291421245960 in words is "two hundred ninety-one billion, four hundred twenty-one million, two hundred forty-five thousand, nine hundred sixty".