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4461991644 = 2231126150377
BaseRepresentation
bin1000010011111010…
…01001011011011100
3102111222000122211210
410021331021123130
533114232213034
62014431544420
7215400205665
oct41175113334
912458018753
104461991644
11198a750400
12a4638b110
13561559656
1430485436c
151b1ad18e9
hex109f496dc

4461991644 has 72 divisors (see below), whose sum is σ = 11631675664. Its totient is φ = 1329926400.

The previous prime is 4461991637. The next prime is 4461991661.

4461991644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44619916442 = 39818738862251645472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4461991593 and 4461991602.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63384 + ... + 113760.

Almost surely, 24461991644 is an apocalyptic number.

4461991644 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 4461991644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815837832).

4461991644 is an abundant number, since it is smaller than the sum of its proper divisors (7169684020).

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

4461991644 is a wasteful number, since it uses less digits than its factorization.

4461991644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50467 (or 50454 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 4461991644 is about 66798.1410220374. The cubic root of 4461991644 is about 1646.3022972981.

The spelling of 4461991644 in words is "four billion, four hundred sixty-one million, nine hundred ninety-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 671 726 732 1342 1452 2013 2684 4026 7381 8052 14762 22143 29524 44286 50377 88572 100754 151131 201508 302262 554147 604524 1108294 1662441 2216588 3072997 3324882 6095617 6145994 6649764 9218991 12191234 12291988 18286851 18437982 24382468 33802967 36573702 36875964 67605934 73147404 101408901 135211868 202817802 371832637 405635604 743665274 1115497911 1487330548 2230995822 4461991644