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16165370144 = 2571122928649
BaseRepresentation
bin11110000111000011…
…11111100100100000
31112201120222212222202
433003201333210200
5231101313321034
611232023552332
71111410244010
oct170341774440
945646885882
1016165370144
116945a25940
1231718bb6a8
1316a81070a1
14ad4cdbc40
156492ae47e
hex3c387f920

16165370144 has 96 divisors (see below), whose sum is σ = 39853296000. Its totient is φ = 6270474240.

The previous prime is 16165370101. The next prime is 16165370147. The reversal of 16165370144 is 44107356161.

It is a happy number.

16165370144 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-2 number, since 2×161653701442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16165370098 and 16165370107.

It is not an unprimeable number, because it can be changed into a prime (16165370147) by changing a digit.

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, 549932 + ... + 578580.

It is an arithmetic number, because the mean of its divisors is an integer number (415138500).

Almost surely, 216165370144 is an apocalyptic number.

16165370144 is a gapful number since it is divisible by the number (14) 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 16165370144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19926648000).

16165370144 is an abundant number, since it is smaller than the sum of its proper divisors (23687925856).

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

16165370144 is a wasteful number, since it uses less digits than its factorization.

16165370144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28906 (or 28898 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 16165370144 in words is "sixteen billion, one hundred sixty-five million, three hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 229 308 352 458 616 916 1232 1603 1832 2464 2519 3206 3664 5038 6412 7328 10076 12824 17633 20152 25648 28649 35266 40304 51296 57298 70532 80608 114596 141064 200543 229192 282128 315139 401086 458384 564256 630278 802172 916768 1260556 1604344 2205973 2521112 3208688 4411946 5042224 6417376 6560621 8823892 10084448 13121242 17647784 26242484 35295568 45924347 52484968 70591136 72166831 91848694 104969936 144333662 183697388 209939872 288667324 367394776 505167817 577334648 734789552 1010335634 1154669296 1469579104 2020671268 2309338592 4041342536 8082685072 16165370144