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27931223808 = 283241928933
BaseRepresentation
bin11010000000110101…
…001010011100000000
32200002120112011221200
4122000311022130000
5424200343130213
620455331021200
72006106325245
oct320065123400
980076464850
1027931223808
11109334a1944
1254b613a800
1328318ba287
1414cd7a95cc
15ad71cd273
hex680d4a700

27931223808 has 108 divisors (see below), whose sum is σ = 80727596040. Its totient is φ = 9287866368.

The previous prime is 27931223783. The next prime is 27931223857. The reversal of 27931223808 is 80832213972.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950910 + ... + 979842.

Almost surely, 227931223808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27931223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40363798020).

27931223808 is an abundant number, since it is smaller than the sum of its proper divisors (52796372232).

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

27931223808 is a wasteful number, since it uses less digits than its factorization.

27931223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29374 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27931223808 in words is "twenty-seven billion, nine hundred thirty-one million, two hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 419 576 768 838 1152 1257 1676 2304 2514 3352 3771 5028 6704 7542 10056 13408 15084 20112 26816 28933 30168 40224 53632 57866 60336 80448 86799 107264 115732 120672 160896 173598 231464 241344 260397 321792 347196 462928 482688 520794 694392 925856 965376 1041588 1388784 1851712 2083176 2777568 3703424 4166352 5555136 7406848 8332704 11110272 12122927 16665408 22220544 24245854 33330816 36368781 48491708 66661632 72737562 96983416 109106343 145475124 193966832 218212686 290950248 387933664 436425372 581900496 775867328 872850744 1163800992 1551734656 1745701488 2327601984 3103469312 3491402976 4655203968 6982805952 9310407936 13965611904 27931223808