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28954693344 = 2536125119699
BaseRepresentation
bin11010111101110101…
…011000111011100000
32202201220100211012210
4122331311120323200
5433244400141334
621145051322120
72043344555403
oct327565307340
982656324183
1028954693344
1111309195735
125740a50340
132965953b55
1415896a5d3a
15b46e985e9
hex6bdd58ee0

28954693344 has 96 divisors (see below), whose sum is σ = 77563785600. Its totient is φ = 9455040000.

The previous prime is 28954693309. The next prime is 28954693363. The reversal of 28954693344 is 44339645982.

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

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, 1460007 + ... + 1479705.

It is an arithmetic number, because the mean of its divisors is an integer number (807956100).

Almost surely, 228954693344 is an apocalyptic number.

28954693344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28954693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38781892800).

28954693344 is an abundant number, since it is smaller than the sum of its proper divisors (48609092256).

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

28954693344 is a wasteful number, since it uses less digits than its factorization.

28954693344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20024 (or 20016 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The spelling of 28954693344 in words is "twenty-eight billion, nine hundred fifty-four million, six hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 251 366 488 502 732 753 976 1004 1464 1506 1952 2008 2928 3012 4016 5856 6024 8032 12048 15311 19699 24096 30622 39398 45933 59097 61244 78796 91866 118194 122488 157592 183732 236388 244976 315184 367464 472776 489952 630368 734928 945552 1201639 1469856 1891104 2403278 3604917 4806556 4944449 7209834 9613112 9888898 14419668 14833347 19226224 19777796 28839336 29666694 38452448 39555592 57678672 59333388 79111184 115357344 118666776 158222368 237333552 301611389 474667104 603222778 904834167 1206445556 1809668334 2412891112 3619336668 4825782224 7238673336 9651564448 14477346672 28954693344