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321942930792 = 233731213728927
BaseRepresentation
bin1001010111101010100…
…10110100010101101000
31010202222202102101222120
410223311102310111220
520233314342241132
6403522030151240
732155021521450
oct4536522642550
91122882371876
10321942930792
11114598433a4a
125248a052520
1324488bbb922
14118214a8d60
158593cb802c
hex4af54b4568

321942930792 has 128 divisors (see below), whose sum is σ = 949986263040. Its totient is φ = 88971747840.

The previous prime is 321942930781. The next prime is 321942930797. The reversal of 321942930792 is 297039249123.

It is not an unprimeable number, because it can be changed into a prime (321942930797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11115033 + ... + 11143959.

It is an arithmetic number, because the mean of its divisors is an integer number (7421767680).

Almost surely, 2321942930792 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 321942930792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474993131520).

321942930792 is an abundant number, since it is smaller than the sum of its proper divisors (628043332248).

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

321942930792 is a wasteful number, since it uses less digits than its factorization.

321942930792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31111 (or 31107 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

It can be divided in two parts, 3219 and 42930792, that added together give a triangular number (42934011 = T9266).

The spelling of 321942930792 in words is "three hundred twenty-one billion, nine hundred forty-two million, nine hundred thirty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2137 2604 4274 5208 6411 8548 12822 14959 17096 25644 28927 29918 44877 51288 57854 59836 66247 86781 89754 115708 119672 132494 173562 179508 198741 202489 231416 264988 347124 359016 397482 404978 463729 529976 607467 694248 794964 809956 896737 927458 1214934 1391187 1589928 1619912 1793474 1854916 2429868 2690211 2782374 3586948 3709832 4859736 5380422 5564748 6277159 7173896 10760844 11129496 12554318 18831477 21521688 25108636 37662954 50217272 61816999 75325908 123633998 150651816 185450997 247267996 370901994 432718993 494535992 741803988 865437986 1298156979 1483607976 1730875972 1916326969 2596313958 3461751944 3832653938 5192627916 5748980907 7665307876 10385255832 11497961814 13414288783 15330615752 22995923628 26828577566 40242866349 45991847256 53657155132 80485732698 107314310264 160971465396 321942930792