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4901026464 = 253217017453
BaseRepresentation
bin1001001000001111…
…11011101010100000
3110122120010221101200
410210013323222200
540014130321324
62130154001200
7232311015615
oct44407735240
913576127350
104901026464
1120955577a4
12b49416200
136014b7379
14346c9a50c
151da405ec9
hex1241fbaa0

4901026464 has 36 divisors (see below), whose sum is σ = 13937294826. Its totient is φ = 1633675392.

The previous prime is 4901026451. The next prime is 4901026469. The reversal of 4901026464 is 4646201094.

4901026464 is a `hidden beast` number, since 4 + 9 + 0 + 1 + 0 + 2 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2644016400 + 2257010064 = 51420^2 + 47508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4901026469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8508439 + ... + 8509014.

Almost surely, 24901026464 is an apocalyptic number.

It is an amenable number.

4901026464 is an abundant number, since it is smaller than the sum of its proper divisors (9036268362).

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

4901026464 is a wasteful number, since it uses less digits than its factorization.

4901026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17017469 (or 17017458 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4901026464 is about 70007.3315017792. The cubic root of 4901026464 is about 1698.6178458888.

The spelling of 4901026464 in words is "four billion, nine hundred one million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 17017453 34034906 51052359 68069812 102104718 136139624 153157077 204209436 272279248 306314154 408418872 544558496 612628308 816837744 1225256616 1633675488 2450513232 4901026464