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165161139456 = 2831259170813
BaseRepresentation
bin1001100111010001011…
…1101111110100000000
3120210022100211012100010
42121310113233310000
510201222222430311
6203512440224520
714634563344005
oct2316427576400
9523270735303
10165161139456
1164054180675
122801416b140
13127615c77b1
147dcb15d8ac
154469b23da6
hex26745efd00

165161139456 has 72 divisors (see below), whose sum is σ = 439921208160. Its totient is φ = 55009662976.

The previous prime is 165161139419. The next prime is 165161139491. The reversal of 165161139456 is 654931161561.

165161139456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1651611394564 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 881506 + ... + 1052318.

It is an arithmetic number, because the mean of its divisors is an integer number (6110016780).

Almost surely, 2165161139456 is an apocalyptic number.

165161139456 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 165161139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219960604080).

165161139456 is an abundant number, since it is smaller than the sum of its proper divisors (274760068704).

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

165161139456 is a wasteful number, since it uses less digits than its factorization.

165161139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172091 (or 172077 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The spelling of 165161139456 in words is "one hundred sixty-five billion, one hundred sixty-one million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1259 2518 3777 5036 7554 10072 15108 20144 30216 40288 60432 80576 120864 161152 170813 241728 322304 341626 483456 512439 683252 966912 1024878 1366504 2049756 2733008 4099512 5466016 8199024 10932032 16398048 21864064 32796096 43728128 65592192 131184384 215053567 430107134 645160701 860214268 1290321402 1720428536 2580642804 3440857072 5161285608 6881714144 10322571216 13763428288 20645142432 27526856576 41290284864 55053713152 82580569728 165161139456