Search a number
-
+
3980012856336 = 2433112394738453
BaseRepresentation
bin111001111010101011010…
…000001010010000010000
3112002111002221100121021000
4321322223100022100100
51010202031242400321
612244220452102000
7560355300043206
oct71725320122020
915074087317230
103980012856336
1112a4a06553820
1254342a304900
1322b40cca27ca
14da8c2a43076
156d7e142d826
hex39eab40a410

3980012856336 has 320 divisors, whose sum is σ = 13018592471040. Its totient is φ = 1152378754560.

The previous prime is 3980012856269. The next prime is 3980012856367. The reversal of 3980012856336 is 6336582100893.

It is a happy number.

3980012856336 is a `hidden beast` number, since 39 + 8 + 0 + 0 + 12 + 8 + 563 + 36 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103484086 + ... + 103522538.

It is an arithmetic number, because the mean of its divisors is an integer number (40683101472).

Almost surely, 23980012856336 is an apocalyptic number.

3980012856336 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 3980012856336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509296235520).

3980012856336 is an abundant number, since it is smaller than the sum of its proper divisors (9038579614704).

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

3980012856336 is a wasteful number, since it uses less digits than its factorization.

3980012856336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39451 (or 39439 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3980012856336 in words is "three trillion, nine hundred eighty billion, twelve million, eight hundred fifty-six thousand, three hundred thirty-six".