Search a number
-
+
164465935936 = 2616323112
BaseRepresentation
bin1001100100101011101…
…1110000011001000000
3120201111220200012101121
42121022323300121000
510143311234422221
6203315443442024
714611422250411
oct2311273603100
9521456605347
10164465935936
1163827807a05
1227a5b386314
1312680577673
147d62ab3808
154428a9ca41
hex264aef0640

164465935936 has 63 divisors (see below), whose sum is σ = 329435865003. Its totient is φ = 81465678720.

The previous prime is 164465935913. The next prime is 164465935939. The reversal of 164465935936 is 639539564461.

The square root of 164465935936 is 405544.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (62985600) is a multiple of the sum of its prime factors (960).

It is not an unprimeable number, because it can be changed into a prime (164465935939) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 528829221 + ... + 528829531.

Almost surely, 2164465935936 is an apocalyptic number.

164465935936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164465935936 is the 405544-th square number.

It is an amenable number.

164465935936 is an abundant number, since it is smaller than the sum of its proper divisors (164969929067).

164465935936 is an frugal number, since it uses more digits than its factorization.

164465935936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 476 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 61.

It can be divided in two parts, 164465 and 935936, that added together give a square (1100401 = 10492).

The spelling of 164465935936 in words is "one hundred sixty-four billion, four hundred sixty-five million, nine hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 163 311 326 622 652 1244 1304 2488 2608 4976 5216 9952 10432 19904 26569 50693 53138 96721 101386 106276 193442 202772 212552 386884 405544 425104 773768 811088 850208 1547536 1622176 1700416 3095072 3244352 6190144 8262959 15765523 16525918 31531046 33051836 63062092 66103672 126124184 132207344 252248368 264414688 504496736 528829376 1008993472 2569780249 5139560498 10279120996 20558241992 41116483984 82232967968 164465935936