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4894774984 = 23111911292593
BaseRepresentation
bin1001000111100000…
…00101011011001000
3110122010101022222101
410203300011123020
540011030244414
62125412003144
7232203621001
oct44360053310
913563338871
104894774984
112091a77990
12b473004b4
13600108a78
143461101a8
151d9abda74
hex123c056c8

4894774984 has 64 divisors (see below), whose sum is σ = 10552392000. Its totient is φ = 2105118720.

The previous prime is 4894774949. The next prime is 4894774991.

4894774984 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1886392 + ... + 1888984.

It is an arithmetic number, because the mean of its divisors is an integer number (164881125).

Almost surely, 24894774984 is an apocalyptic number.

4894774984 is a gapful number since it is divisible by the number (44) 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 4894774984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276196000).

4894774984 is an abundant number, since it is smaller than the sum of its proper divisors (5657617016).

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

4894774984 is a wasteful number, since it uses less digits than its factorization.

4894774984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3758 (or 3754 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 64.

The square root of 4894774984 is about 69962.6685025664. The cubic root of 4894774984 is about 1697.8953174060.

The spelling of 4894774984 in words is "four billion, eight hundred ninety-four million, seven hundred seventy-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1129 1672 2258 2593 4516 5186 9032 10372 12419 20744 21451 24838 28523 42902 49267 49676 57046 85804 98534 99352 114092 171608 197068 228184 235961 394136 471922 541937 943844 1083874 1887688 2167748 2927497 4335496 5854994 11709988 23419976 32202467 55622443 64404934 111244886 128809868 222489772 257619736 444979544 611846873 1223693746 2447387492 4894774984