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4649779464 = 2331153332317
BaseRepresentation
bin1000101010010011…
…00000000100001000
3110000001101021022020
410111021200010020
534010320420324
62045220524440
7223140321231
oct42511400410
913001337266
104649779464
111a76752150
12a99250720
135914291c5
14321778088
151c3327679
hex115260108

4649779464 has 64 divisors (see below), whose sum is σ = 12920523840. Its totient is φ = 1382434560.

The previous prime is 4649779451. The next prime is 4649779469.

4649779464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46497794642 = 43240898127672254592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4649779398 and 4649779407.

It is not an unprimeable number, because it can be changed into a prime (4649779469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152167 + ... + 180150.

It is an arithmetic number, because the mean of its divisors is an integer number (201883185).

Almost surely, 24649779464 is an apocalyptic number.

4649779464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4649779464 is an abundant number, since it is smaller than the sum of its proper divisors (8270744376).

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

4649779464 is a wasteful number, since it uses less digits than its factorization.

4649779464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332390 (or 332386 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 4649779464 is about 68189.2914173479. The cubic root of 4649779464 is about 1669.0811472721.

The spelling of 4649779464 in words is "four billion, six hundred forty-nine million, seven hundred seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 332317 664634 996951 1329268 1993902 2658536 3655487 3987804 7310974 7975608 10966461 14621948 17612801 21932922 29243896 35225602 43865844 52838403 70451204 87731688 105676806 140902408 193740811 211353612 387481622 422707224 581222433 774963244 1162444866 1549926488 2324889732 4649779464