Search a number
-
+
10426483719360 = 2633537415997139
BaseRepresentation
bin1001011110111001101011…
…0110111011110011000000
31100220202120120120221222000
42113232122312323303000
52331311414313004420
634101505511144000
72124200662216152
oct227563266736300
940822516527860
1010426483719360
11335a935272795
121204880375000
135a82a0511b07
14280904740ad2
1513133b8de690
hex97b9adbbcc0

10426483719360 has 1792 divisors, whose sum is σ = 40045453056000. Its totient is φ = 2549313699840.

The previous prime is 10426483719313. The next prime is 10426483719383. The reversal of 10426483719360 is 6391738462401.

10426483719360 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 483 + 71 + 93 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10426483719297 and 10426483719306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75010674171 + ... + 75010674309.

It is an arithmetic number, because the mean of its divisors is an integer number (22346793000).

Almost surely, 210426483719360 is an apocalyptic number.

10426483719360 is a gapful number since it is divisible by the number (10) 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 10426483719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022726528000).

10426483719360 is an abundant number, since it is smaller than the sum of its proper divisors (29618969336640).

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

10426483719360 is a wasteful number, since it uses less digits than its factorization.

10426483719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10426483719360 in words is "ten trillion, four hundred twenty-six billion, four hundred eighty-three million, seven hundred nineteen thousand, three hundred sixty".