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54440004465 = 32571115711401
BaseRepresentation
bin110010101100111000…
…001000101101110001
312012112000110202201200
4302230320020231301
51342443120120330
641002010121413
73635034255120
oct625470105561
9165460422650
1054440004465
11210a6a66130
12a673a20269
13519789b5c2
1428c629dab7
151639581a60
hexcace08b71

54440004465 has 48 divisors (see below), whose sum is σ = 117646978176. Its totient is φ = 22624416000.

The previous prime is 54440004461. The next prime is 54440004571. The reversal of 54440004465 is 56440004445.

It is not a de Polignac number, because 54440004465 - 22 = 54440004461 is a prime.

It is a super-2 number, since 2×544400044652 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54440004461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7852236 + ... + 7859165.

It is an arithmetic number, because the mean of its divisors is an integer number (2450978712).

Almost surely, 254440004465 is an apocalyptic number.

54440004465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54440004465 is an abundant number, since it is smaller than the sum of its proper divisors (63206973711).

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

54440004465 is a wasteful number, since it uses less digits than its factorization.

54440004465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711430 (or 15711427 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 54440004465 in words is "fifty-four billion, four hundred forty million, four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 15711401 47134203 78557005 109979807 141402609 172825411 235671015 329939421 518476233 549899035 707013045 864127055 989818263 1209777877 1555428699 1649697105 2592381165 3629333631 4949091315 6048889385 7777143495 10888000893 18146668155 54440004465