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4464994644 = 2233113758413
BaseRepresentation
bin1000010100010001…
…00110100101010100
3102112011200020012000
410022020212211110
533121014312034
62015020155300
7215434554045
oct41210464524
912464606160
104464994644
111991411620
12a47398b30
1356206b486
14304dd68cc
151b1ec6599
hex10a226954

4464994644 has 48 divisors (see below), whose sum is σ = 12628271040. Its totient is φ = 1353028320.

The previous prime is 4464994619. The next prime is 4464994673.

4464994644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878019 + ... + 1880394.

It is an arithmetic number, because the mean of its divisors is an integer number (263088980).

Almost surely, 24464994644 is an apocalyptic number.

4464994644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4464994644 is an abundant number, since it is smaller than the sum of its proper divisors (8163276396).

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

4464994644 is a wasteful number, since it uses less digits than its factorization.

4464994644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758437 (or 3758429 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 4464994644 is about 66820.6154117126. The cubic root of 4464994644 is about 1646.6715447485.

The spelling of 4464994644 in words is "four billion, four hundred sixty-four million, nine hundred ninety-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 3758413 7516826 11275239 15033652 22550478 33825717 41342543 45100956 67651434 82685086 101477151 124027629 135302868 165370172 202954302 248055258 372082887 405908604 496110516 744165774 1116248661 1488331548 2232497322 4464994644