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161052851712 = 293378593299
BaseRepresentation
bin1001010111111101111…
…1110111111000000000
3120101201001100120000210
42111333133313320000
510114314012223322
6201553041314120
714431016436504
oct2257737677000
9511631316023
10161052851712
1162336155245
1227268335940
13122584201bc
147b1b69c304
1542c910d70c
hex257f7f7e00

161052851712 has 160 divisors (see below), whose sum is σ = 441297648000. Its totient is φ = 52156735488.

The previous prime is 161052851683. The next prime is 161052851753. The reversal of 161052851712 is 217158250161.

It is a super-2 number, since 2×1610528517122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48817039 + ... + 48820337.

It is an arithmetic number, because the mean of its divisors is an integer number (2758110300).

Almost surely, 2161052851712 is an apocalyptic number.

161052851712 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 161052851712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220648824000).

161052851712 is an abundant number, since it is smaller than the sum of its proper divisors (280244796288).

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

161052851712 is an equidigital number, since it uses as much as digits as its factorization.

161052851712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 39.

The spelling of 161052851712 in words is "one hundred sixty-one billion, fifty-two million, eight hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 859 888 1184 1536 1718 1776 2368 2577 3299 3436 3552 4736 5154 6598 6872 7104 9472 9897 10308 13196 13744 14208 18944 19794 20616 26392 27488 28416 31783 39588 41232 52784 54976 56832 63566 79176 82464 95349 105568 109952 122063 127132 158352 164928 190698 211136 219904 244126 254264 316704 329856 366189 381396 422272 439808 488252 508528 633408 659712 732378 762792 844544 976504 1017056 1266816 1319424 1464756 1525584 1689088 1953008 2034112 2533632 2833841 2929512 3051168 3906016 4068224 5067264 5667682 5859024 6102336 7812032 8136448 8501523 11335364 11718048 12204672 15624064 16272896 17003046 22670728 23436096 24409344 31248128 34006092 45341456 46872192 48818688 62496256 68012184 90682912 93744384 104852117 136024368 181365824 187488768 209704234 272048736 314556351 362731648 419408468 544097472 629112702 725463296 838816936 1088194944 1258225404 1450926592 1677633872 2176389888 2516450808 3355267744 4352779776 5032901616 6710535488 10065803232 13421070976 20131606464 26842141952 40263212928 53684283904 80526425856 161052851712