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164329852416 = 293234651547
BaseRepresentation
bin1001100100001011010…
…0101000111000000000
3120201011102121102220020
42121002310220320000
510143021420234131
6203254143013440
714605150461432
oct2310264507000
9521142542806
10164329852416
1163767a10394
1227a2189a280
131265b30bb82
147d4c9ac652
15441bb6b996
hex2642d28e00

164329852416 has 80 divisors (see below), whose sum is σ = 456819225984. Its totient is φ = 52395014144.

The previous prime is 164329852361. The next prime is 164329852417. The reversal of 164329852416 is 614258923461.

It is a happy number.

164329852416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164329852417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2290446 + ... + 2361101.

Almost surely, 2164329852416 is an apocalyptic number.

164329852416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164329852416 is an abundant number, since it is smaller than the sum of its proper divisors (292489373568).

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

164329852416 is an equidigital number, since it uses as much as digits as its factorization.

164329852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4651591 (or 4651575 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 164329852416 in words is "one hundred sixty-four billion, three hundred twenty-nine million, eight hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 35328 4651547 9303094 13954641 18606188 27909282 37212376 55818564 74424752 106985581 111637128 148849504 213971162 223274256 297699008 320956743 427942324 446548512 595398016 641913486 855884648 893097024 1190796032 1283826972 1711769296 1786194048 2381592064 2567653944 3423538592 3572388096 5135307888 6847077184 7144776192 10270615776 13694154368 20541231552 27388308736 41082463104 54776617472 82164926208 164329852416