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544410816964 = 227475292
BaseRepresentation
bin1111110110000010110…
…10011101000111000100
31221001012220222222010021
413323001122131013010
532404423132120324
61054033205104524
754222002410000
oct7730132350704
91831186888107
10544410816964
1119a979793613
12896160b8144
133c450c7c9b1
141c4c7523700
15e26498dae4
hex7ec169d1c4

544410816964 has 45 divisors (see below), whose sum is σ = 1111586925197. Its totient is φ = 233287932192.

The previous prime is 544410816941. The next prime is 544410817003. The reversal of 544410816964 is 469618014445.

The square root of 544410816964 is 737842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 179981274564 + 364429542400 = 424242^2 + 603680^2 .

It is a super-3 number, since 3×5444108169643 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 72304752 + ... + 72312280.

Almost surely, 2544410816964 is an apocalyptic number.

544410816964 is the 737842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544410816964

544410816964 is an abundant number, since it is smaller than the sum of its proper divisors (567176108233).

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

544410816964 is an frugal number, since it uses more digits than its factorization.

544410816964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15090 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 544410816964 in words is "five hundred forty-four billion, four hundred ten million, eight hundred sixteen thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 7529 9604 15058 30116 52703 105406 210812 368921 737842 1475684 2582447 5164894 10329788 18077129 36154258 56685841 72308516 113371682 226743364 396800887 793601774 1587203548 2777606209 5555212418 11110424836 19443243463 38886486926 77772973852 136102704241 272205408482 544410816964