Search a number
-
+
356295499056 = 243271723389237
BaseRepresentation
bin1010010111101001101…
…11011101110100110000
31021001122211211200112200
411023310313131310300
521314143121432211
6431402505023200
734512222525630
oct5136467356460
91231584750480
10356295499056
1112811657aa32
1259076784b00
13277a1c4a5b3
141335da026c0
159404aabb56
hex52f4dddd30

356295499056 has 240 divisors, whose sum is σ = 1211806350144. Its totient is φ = 95398281216.

The previous prime is 356295499037. The next prime is 356295499061. The reversal of 356295499056 is 650994592653.

356295499056 is a `hidden beast` number, since 3 + 5 + 6 + 2 + 95 + 499 + 0 + 56 = 666.

It is a super-2 number, since 2×3562954990562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 356295498984 and 356295499002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3948070 + ... + 4037306.

Almost surely, 2356295499056 is an apocalyptic number.

356295499056 is a gapful number since it is divisible by the number (36) 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 356295499056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605903175072).

356295499056 is an abundant number, since it is smaller than the sum of its proper divisors (855510851088).

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

356295499056 is a wasteful number, since it uses less digits than its factorization.

356295499056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89508 (or 89499 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 356295499056 in words is "three hundred fifty-six billion, two hundred ninety-five million, four hundred ninety-nine thousand, fifty-six".