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164324512092 = 2231323212715679
BaseRepresentation
bin1001100100001010000…
…0010001000101011100
3120201011001120010100110
42121002200101011130
510143014033341332
6203253432330020
714605054210116
oct2310240210534
9521131503313
10164324512092
11637649a30a4
1227a1bb43910
131265a18c210
147d4bdbc3b6
15441b4644cc
hex264281115c

164324512092 has 144 divisors (see below), whose sum is σ = 435078103040. Its totient is φ = 47979195264.

The previous prime is 164324512091. The next prime is 164324512109. The reversal of 164324512092 is 290215423461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 164324512092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164324512091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10472709 + ... + 10488387.

Almost surely, 2164324512092 is an apocalyptic number.

164324512092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164324512092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217539051520).

164324512092 is an abundant number, since it is smaller than the sum of its proper divisors (270753590948).

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

164324512092 is a wasteful number, since it uses less digits than its factorization.

164324512092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 164324512092 in words is "one hundred sixty-four billion, three hundred twenty-four million, five hundred twelve thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 127 138 156 254 276 299 381 508 529 598 762 897 1058 1196 1524 1587 1651 1794 2116 2921 3174 3302 3588 4953 5842 6348 6604 6877 8763 9906 11684 13754 15679 17526 19812 20631 27508 31358 35052 37973 41262 47037 62716 67183 75946 82524 94074 113919 134366 151892 188148 201549 203827 227838 268732 360617 403098 407654 455676 611481 721234 806196 815308 873379 1081851 1222962 1442468 1746758 1991233 2163702 2445924 2620137 3493516 3982466 4327404 4688021 5240274 5973699 7964932 8294191 9376042 10480548 11947398 14064063 16588382 18752084 23894796 24882573 25886029 28128126 33176764 45798359 49765146 51772058 56256252 77658087 91596718 99530292 103544116 107824483 137395077 155316174 183193436 215648966 274790154 310632348 323473449 431297932 549580308 595378667 646946898 1053362257 1190757334 1293893796 1786136001 2106724514 2381514668 3160086771 3572272002 4213449028 6320173542 7144544004 12640347084 13693709341 27387418682 41081128023 54774837364 82162256046 164324512092