Search a number
-
+
406255493592 = 23321317193132287
BaseRepresentation
bin1011110100101101011…
…01101110000111011000
31102211121122101100222200
411322112231232013120
523124002401243332
6510344201050200
741231250501444
oct5722655560730
91384548340880
10406255493592
111473236a9313
126689a186960
132c404621140
141593ccbb824
15a87ab9d17c
hex5e96b6e1d8

406255493592 has 192 divisors, whose sum is σ = 1261122670080. Its totient is φ = 117038186496.

The previous prime is 406255493591. The next prime is 406255493593. The reversal of 406255493592 is 295394552604.

406255493592 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 5 + 5 + 49 + 3 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (406255493591) and next prime (406255493593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406255493591) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3004873 + ... + 3137159.

It is an arithmetic number, because the mean of its divisors is an integer number (6568347240).

Almost surely, 2406255493592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406255493592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630561335040).

406255493592 is an abundant number, since it is smaller than the sum of its proper divisors (854867176488).

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

406255493592 is a wasteful number, since it uses less digits than its factorization.

406255493592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132522 (or 132515 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 406255493592 in words is "four hundred six billion, two hundred fifty-five million, four hundred ninety-three thousand, five hundred ninety-two".