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44486739072 = 273297398113
BaseRepresentation
bin101001011011100111…
…011100010010000000
311020211100122111102200
4221123213130102000
51212102101122242
632234213113200
73133265020506
oct513347342200
9136740574380
1044486739072
1117959671566
128756628800
13426c795159
142220424676
15125585604c
hexa5b9dc480

44486739072 has 96 divisors (see below), whose sum is σ = 129335295180. Its totient is φ = 14676000768.

The previous prime is 44486739071. The next prime is 44486739107. The reversal of 44486739072 is 27093768444.

44486739072 is a `hidden beast` number, since 4 + 4 + 486 + 7 + 3 + 90 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43407222336 + 1079516736 = 208344^2 + 32856^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×444867390722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44486739071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87313 + ... + 310800.

Almost surely, 244486739072 is an apocalyptic number.

It is an amenable number.

44486739072 is an abundant number, since it is smaller than the sum of its proper divisors (84848556108).

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

44486739072 is a wasteful number, since it uses less digits than its factorization.

44486739072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398230 (or 398215 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 44486739072 in words is "forty-four billion, four hundred eighty-six million, seven hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 27936 37248 55872 111744 398113 796226 1194339 1592452 2388678 3184904 3583017 4777356 6369808 7166034 9554712 12739616 14332068 19109424 25479232 28664136 38218848 38616961 50958464 57328272 76437696 77233922 114656544 115850883 152875392 154467844 229313088 231701766 308935688 347552649 458626176 463403532 617871376 695105298 926807064 1235742752 1390210596 1853614128 2471485504 2780421192 3707228256 4942971008 5560842384 7414456512 11121684768 14828913024 22243369536 44486739072