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164442425640416 = 2571166737997419
BaseRepresentation
bin100101011000111100111100…
…010111011100010111100000
3210120020112122101021221210022
4211120330330113130113200
5133023211041430443131
61341423450224053012
746431400414162640
oct4530747427342740
9716215571257708
10164442425640416
114843a7062a5890
121653a063764168
13709ab148a5c21
142c870ad430520
1514027d164b37b
hex958f3c5dc5e0

164442425640416 has 48 divisors (see below), whose sum is σ = 403631408396160. Its totient is φ = 64068477521280.

The previous prime is 164442425640377. The next prime is 164442425640433. The reversal of 164442425640416 is 614046524244461.

It is a happy number.

It is a super-2 number, since 2×1644424256404162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33368996246 + ... + 33369001173.

It is an arithmetic number, because the mean of its divisors is an integer number (8408987674920).

Almost surely, 2164442425640416 is an apocalyptic number.

164442425640416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164442425640416 is an abundant number, since it is smaller than the sum of its proper divisors (239188982755744).

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

164442425640416 is a wasteful number, since it uses less digits than its factorization.

164442425640416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66737997447 (or 66737997439 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 53.

Adding to 164442425640416 its reverse (614046524244461), we get a palindrome (778488949884877).

The spelling of 164442425640416 in words is "one hundred sixty-four trillion, four hundred forty-two billion, four hundred twenty-five million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 66737997419 133475994838 266951989676 467165981933 533903979352 734117971609 934331963866 1067807958704 1468235943218 1868663927732 2135615917408 2936471886436 3737327855464 5138825801263 5872943772872 7474655710928 10277651602526 11745887545744 14949311421856 20555303205052 23491775091488 41110606410104 82221212820208 164442425640416