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44856698436 = 223211232092
BaseRepresentation
bin101001110001101010…
…101110011001000100
311021210010210101021100
4221301222232121010
51213331303322221
632335030420100
73145406434314
oct516152563104
9137703711240
1044856698436
1118029489500
12883a501630
1342cb319114
142257609444
151278083926
hexa71aae644

44856698436 has 81 divisors (see below), whose sum is σ = 124671683773. Its totient is φ = 13588703040.

The previous prime is 44856698417. The next prime is 44856698443. The reversal of 44856698436 is 63489665844.

The square root of 44856698436 is 211794.

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

44856698436 is a `hidden beast` number, since 4 + 485 + 66 + 98 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25279092036 + 19577606400 = 158994^2 + 139920^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 13976800 + ... + 13980008.

Almost surely, 244856698436 is an apocalyptic number.

44856698436 is the 211794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44856698436

44856698436 is an abundant number, since it is smaller than the sum of its proper divisors (79814985337).

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

44856698436 is a wasteful number, since it uses less digits than its factorization.

44856698436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 3225 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

It can be divided in two parts, 4485 and 6698436, that added together give a square (6702921 = 25892).

The spelling of 44856698436 in words is "forty-four billion, eight hundred fifty-six million, six hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3209 4356 6418 9627 12836 19254 28881 35299 38508 57762 70598 105897 115524 141196 211794 317691 388289 423588 635382 776578 1164867 1270764 1553156 2329734 3494601 4659468 6989202 10297681 13978404 20595362 30893043 41190724 61786086 92679129 113274491 123572172 185358258 226548982 339823473 370716516 453097964 679646946 1019470419 1246019401 1359293892 2038940838 2492038802 3738058203 4077881676 4984077604 7476116406 11214174609 14952232812 22428349218 44856698436