Search a number
-
+
165032046256 = 24731110127067
BaseRepresentation
bin1001100110110010101…
…1010010111010110000
3120202222100220120202111
42121230223102322300
510200441200440011
6203451545255104
714631435151000
oct2315453227260
9522870816674
10165032046256
1163a98318a80
1227b98a94494
131274093899c
147db7d58000
15445d624121
hex266cad2eb0

165032046256 has 160 divisors (see below), whose sum is σ = 410827276800. Its totient is φ = 63659232000.

The previous prime is 165032046239. The next prime is 165032046271. The reversal of 165032046256 is 652640230561.

It is a happy number.

165032046256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6083635 + ... + 6110701.

It is an arithmetic number, because the mean of its divisors is an integer number (2567670480).

Almost surely, 2165032046256 is an apocalyptic number.

165032046256 is a gapful number since it is divisible by the number (16) 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 165032046256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205413638400).

165032046256 is an abundant number, since it is smaller than the sum of its proper divisors (245795230544).

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

165032046256 is a wasteful number, since it uses less digits than its factorization.

165032046256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27208 (or 27188 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 165032046256 in words is "one hundred sixty-five billion, thirty-two million, forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 101 112 154 176 196 202 308 343 392 404 539 616 686 707 784 808 1078 1111 1232 1372 1414 1616 2156 2222 2744 2828 3773 4312 4444 4949 5488 5656 7546 7777 8624 8888 9898 11312 15092 15554 17776 19796 27067 30184 31108 34643 39592 54134 54439 60368 62216 69286 79184 108268 108878 124432 138572 189469 216536 217756 277144 297737 378938 381073 433072 435512 554288 595474 757876 762146 871024 1190948 1326283 1515752 1524292 2084159 2381896 2652566 2733767 3031504 3048584 4168318 4763792 5305132 5467534 6097168 8336636 9283981 10610264 10935068 14589113 16673272 18567962 19136369 21220528 21870136 29178226 30071437 33346544 37135924 38272738 43740272 58356452 60142874 74271848 76545476 102123791 116712904 120285748 133954583 148543696 153090952 204247582 210500059 233425808 240571496 267909166 306181904 408495164 421000118 481142992 535818332 816990328 842000236 937682081 1071636664 1473500413 1633980656 1684000472 1875364162 2143273328 2947000826 3368000944 3750728324 5894001652 7501456648 10314502891 11788003304 15002913296 20629005782 23576006608 41258011564 82516023128 165032046256