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164043431448 = 23313254773939
BaseRepresentation
bin1001100011000111000…
…0000001111000011000
3120200102110122202012020
42120301300001320120
510141430104301243
6203205512014440
714565102106041
oct2306160017030
9520373582166
10164043431448
1163630271046
1227961991420
1312613b86a00
147d229318c8
154401941283
hex2631c01e18

164043431448 has 96 divisors (see below), whose sum is σ = 444899937600. Its totient is φ = 50381944704.

The previous prime is 164043431417. The next prime is 164043431449. The reversal of 164043431448 is 844134340461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164043431449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2181663 + ... + 2255601.

It is an arithmetic number, because the mean of its divisors is an integer number (4634374350).

Almost surely, 2164043431448 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 164043431448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222449968800).

164043431448 is an abundant number, since it is smaller than the sum of its proper divisors (280856506152).

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

164043431448 is a wasteful number, since it uses less digits than its factorization.

164043431448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74521 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 164043431448 in words is "one hundred sixty-four billion, forty-three million, four hundred thirty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 547 676 1014 1094 1352 1641 2028 2188 3282 4056 4376 6564 7111 13128 14222 21333 28444 42666 56888 73939 85332 92443 147878 170664 184886 221817 277329 295756 369772 443634 554658 591512 739544 887268 961207 1109316 1774536 1922414 2218632 2883621 3844828 5767242 7689656 11534484 12495691 23068968 24991382 37487073 40444633 49982764 74974146 80889266 99965528 121333899 149948292 161778532 242667798 299896584 323557064 485335596 525780229 970671192 1051560458 1577340687 2103120916 3154681374 4206241832 6309362748 6835142977 12618725496 13670285954 20505428931 27340571908 41010857862 54681143816 82021715724 164043431448