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4894994984 = 23112311571039
BaseRepresentation
bin1001000111100001…
…11011001000101000
3110122010210111202112
410203300323020220
540011104314414
62125420421452
7232205525255
oct44360731050
913563714675
104894994984
112092108200
12b473a7888
13600184c49
1434616a42c
151d9b13d3e
hex123c3b228

4894994984 has 96 divisors (see below), whose sum is σ = 10490188800. Its totient is φ = 2137449600.

The previous prime is 4894994983. The next prime is 4894995013.

4894994984 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4894994981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4710737 + ... + 4711775.

It is an arithmetic number, because the mean of its divisors is an integer number (109272800).

Almost surely, 24894994984 is an apocalyptic number.

4894994984 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 4894994984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245094400).

4894994984 is an abundant number, since it is smaller than the sum of its proper divisors (5595193816).

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

4894994984 is a wasteful number, since it uses less digits than its factorization.

4894994984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1240 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 68.

The square root of 4894994984 is about 69964.2407519727. The cubic root of 4894994984 is about 1697.9207548282.

The spelling of 4894994984 in words is "four billion, eight hundred ninety-four million, nine hundred ninety-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 157 242 248 314 341 484 628 682 968 1039 1256 1364 1727 2078 2728 3454 3751 4156 4867 6908 7502 8312 9734 11429 13816 15004 18997 19468 22858 30008 32209 37994 38936 45716 53537 64418 75988 91432 107074 125719 128836 151976 163123 214148 251438 257672 326246 354299 428296 502876 588907 652492 708598 1005752 1177814 1304984 1417196 1794353 2355628 2834392 3588706 3897289 4711256 5056813 7177412 7794578 10113626 14354824 15589156 19737883 20227252 31178312 39475766 40454504 55624943 78951532 111249886 157903064 222499772 444999544 611874373 1223748746 2447497492 4894994984