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16442732422064 = 24131271913258919
BaseRepresentation
bin1110111101000101111100…
…1110011010001110110000
32011012220120021221010122002
43233101133032122032300
54123344204000001224
654545404220233132
73314643144350414
oct357213716321660
964186507833562
1016442732422064
11526a361877a63
121a1686599b7a8
1392370a004ba0
1440bb92520d44
151d7aa70e79ae
hexef45f39a3b0

16442732422064 has 80 divisors (see below), whose sum is σ = 34759588577280. Its totient is φ = 7489775704320.

The previous prime is 16442732422057. The next prime is 16442732422069. The reversal of 16442732422064 is 46022423724461.

It is a super-3 number, since 3×164427324220643 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16442732422069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3415997 + ... + 6674915.

It is an arithmetic number, because the mean of its divisors is an integer number (434494857216).

Almost surely, 216442732422064 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 16442732422064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379794288640).

16442732422064 is an abundant number, since it is smaller than the sum of its proper divisors (18316856155216).

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

16442732422064 is a wasteful number, since it uses less digits than its factorization.

16442732422064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3259258 (or 3259252 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 47.

The spelling of 16442732422064 in words is "sixteen trillion, four hundred forty-two billion, seven hundred thirty-two million, four hundred twenty-two thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 127 191 208 254 382 508 764 1016 1528 1651 2032 2483 3056 3302 4966 6604 9932 13208 19864 24257 26416 39728 48514 97028 194056 315341 388112 630682 1261364 2522728 3258919 5045456 6517838 13035676 26071352 42365947 52142704 84731894 169463788 338927576 413882713 622453529 677855152 827765426 1244907058 1655530852 2489814116 3311061704 4979628232 5380475269 6622123408 8091895877 9959256464 10760950538 16183791754 21521901076 32367583508 43043802152 64735167016 79051598183 86087604304 129470334032 158103196366 316206392732 632412785464 1027670776379 1264825570928 2055341552758 4110683105516 8221366211032 16442732422064