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4977320634 = 232111329131509
BaseRepresentation
bin1001010001010101…
…11110001010111010
3110211212201002022200
410220222332022322
540143143230014
62141521131030
7234225345606
oct45052761272
913755632280
104977320634
112124627730
12b6aa89a76
1361424aa50
1435307a506
151e1e76a09
hex128abe2ba

4977320634 has 192 divisors, whose sum is σ = 13232419200. Its totient is φ = 1331366400.

The previous prime is 4977320609. The next prime is 4977320669. The reversal of 4977320634 is 4360237794.

4977320634 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 3 + 2 + 0 + 634 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4977320634.

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 95 ways as a sum of consecutive naturals, for example, 9778372 + ... + 9778880.

It is an arithmetic number, because the mean of its divisors is an integer number (68918850).

Almost surely, 24977320634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977320634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616209600).

4977320634 is an abundant number, since it is smaller than the sum of its proper divisors (8255098566).

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

4977320634 is a wasteful number, since it uses less digits than its factorization.

4977320634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 4977320634 is about 70550.1285186639. The cubic root of 4977320634 is about 1707.3866164072.

It can be divided in two parts, 49773 and 20634, that added together give a palindrome (70407).

The spelling of 4977320634 in words is "four billion, nine hundred seventy-seven million, three hundred twenty thousand, six hundred thirty-four".