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161319443712 = 283756353299
BaseRepresentation
bin1001011000111101100…
…0110101110100000000
3120102101121222211111120
42112033120311310000
510120340234144322
6202035323312240
714440434434610
oct2261730656400
9512347884446
10161319443712
1162462690809
122732167b680
131229b721a4b
147b44c56a40
1542e271da5c
hex258f635d00

161319443712 has 144 divisors (see below), whose sum is σ = 491560742400. Its totient is φ = 46008539136.

The previous prime is 161319443653. The next prime is 161319443743. The reversal of 161319443712 is 217344913161.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3000039 + ... + 3053337.

Almost surely, 2161319443712 is an apocalyptic number.

161319443712 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 161319443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245780371200).

161319443712 is an abundant number, since it is smaller than the sum of its proper divisors (330241298688).

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

161319443712 is an equidigital number, since it uses as much as digits as its factorization.

161319443712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53888 (or 53874 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The spelling of 161319443712 in words is "one hundred sixty-one billion, three hundred nineteen million, four hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 563 672 768 896 1126 1344 1689 1792 2252 2688 3378 3941 4504 5376 6756 7882 9008 11823 13512 15764 18016 23646 27024 31528 36032 47292 53299 54048 63056 72064 94584 106598 108096 126112 144128 159897 189168 213196 216192 252224 319794 373093 378336 426392 432384 504448 639588 746186 756672 852784 1008896 1119279 1279176 1492372 1513344 1705568 2238558 2558352 2984744 3026688 3411136 4477116 5116704 5969488 6822272 8954232 10233408 11938976 13644544 17908464 20466816 23877952 30007337 35816928 40933632 47755904 60014674 71633856 90022011 95511808 120029348 143267712 180044022 210051359 240058696 286535424 360088044 420102718 480117392 630154077 720176088 840205436 960234784 1260308154 1440352176 1680410872 1920469568 2520616308 2880704352 3360821744 3840939136 5041232616 5761408704 6721643488 7681878272 10082465232 11522817408 13443286976 20164930464 23045634816 26886573952 40329860928 53773147904 80659721856 161319443712