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804939939408 = 243117017432927
BaseRepresentation
bin10111011011010100010…
…10001011111001010000
32211221200122111122220110
423231222022023321100
5101142004111030113
61413441224241320
7112104106410513
oct13555212137120
92757618448813
10804939939408
1129041167a350
12110004910240
135aba0539847
142ad60470d7a
1515e11d32bc3
hexbb6a28be50

804939939408 has 160 divisors (see below), whose sum is σ = 2275537784832. Its totient is φ = 243162304000.

The previous prime is 804939939367. The next prime is 804939939413.

804939939408 is nontrivially palindromic in base 10.

804939939408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8049399394082 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275003641 + ... + 275006567.

Almost surely, 2804939939408 is an apocalyptic number.

804939939408 is a gapful number since it is divisible by the number (88) 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 804939939408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137768892416).

804939939408 is an abundant number, since it is smaller than the sum of its proper divisors (1470597845424).

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

804939939408 is a wasteful number, since it uses less digits than its factorization.

With its successor (804939939409) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4393).

804939939408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4393 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 804939939408 in words is "eight hundred four billion, nine hundred thirty-nine million, nine hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 701 743 1402 1486 2103 2229 2804 2927 2972 4206 4458 5608 5854 5944 7711 8173 8412 8781 8916 11216 11708 11888 15422 16346 16824 17562 17832 23133 23416 24519 30844 32197 32692 33648 35124 35664 46266 46832 49038 61688 64394 65384 70248 92532 96591 98076 123376 128788 130768 140496 185064 193182 196152 257576 370128 386364 392304 515152 520843 772728 1041686 1545456 1562529 2051827 2083372 2174761 3125058 4103654 4166744 4349522 5729273 6155481 6250116 6524283 8207308 8333488 8699044 11458546 12310962 12500232 13048566 16414616 17187819 17398088 22570097 22917092 23922371 24621924 25000464 26097132 32829232 34375638 34796176 45140194 45834184 47844742 49243848 52194264 67710291 68751276 71767113 90280388 91668368 95689484 98487696 104388528 135420582 137502552 143534226 180560776 191378968 270841164 275005104 287068452 361121552 382757936 541682328 574136904 1083364656 1148273808 1524507461 3049014922 4573522383 6098029844 9147044766 12196059688 16769582071 18294089532 24392119376 33539164142 36588179064 50308746213 67078328284 73176358128 100617492426 134156656568 201234984852 268313313136 402469969704 804939939408