Search a number
-
+
4913452402848 = 2535113117310711
BaseRepresentation
bin100011110000000000010…
…0101011100100010100000
3122101201110221112122200000
41013200000211130202200
51121000222303342343
614241113041100000
71014661634216043
oct107400045344240
918351427478600
104913452402848
111624868873870
12674315327600
1329844b5b4b12
1412db531b6c5a
1587c244eded3
hex4780095c8a0

4913452402848 has 576 divisors, whose sum is σ = 16413188972544. Its totient is φ = 1432432512000.

The previous prime is 4913452402769. The next prime is 4913452402871. The reversal of 4913452402848 is 8482042543194.

4913452402848 is a `hidden beast` number, since 4 + 9 + 1 + 34 + 524 + 0 + 2 + 84 + 8 = 666.

It is a super-2 number, since 2×49134524028482 (a number of 26 digits) contains 22 as substring.

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 = 4913452402794 and 4913452402803.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458724213 + ... + 458734923.

It is an arithmetic number, because the mean of its divisors is an integer number (28495119744).

Almost surely, 24913452402848 is an apocalyptic number.

4913452402848 is a gapful number since it is divisible by the number (48) 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 4913452402848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206594486272).

4913452402848 is an abundant number, since it is smaller than the sum of its proper divisors (11499736569696).

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

4913452402848 is a wasteful number, since it uses less digits than its factorization.

4913452402848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10951 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 4913452402848 in words is "four trillion, nine hundred thirteen billion, four hundred fifty-two million, four hundred two thousand, eight hundred forty-eight".