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16147145448 = 2333750920981
BaseRepresentation
bin11110000100111000…
…11110001011101000
31112200022200222102000
433002130132023220
5231032132123243
611230133211000
71111066320540
oct170234361350
945608628360
1016147145448
116936708405
123167790a60
1316a43c5a45
14ad2716320
156478ae5d3
hex3c271e2e8

16147145448 has 128 divisors (see below), whose sum is σ = 51363936000. Its totient is φ = 4604186880.

The previous prime is 16147145419. The next prime is 16147145503. The reversal of 16147145448 is 84454174161.

16147145448 is a `hidden beast` number, since 1 + 61 + 4 + 7 + 145 + 448 = 666.

16147145448 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 2×161471454482 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 759118 + ... + 780098.

It is an arithmetic number, because the mean of its divisors is an integer number (401280750).

Almost surely, 216147145448 is an apocalyptic number.

16147145448 is a gapful number since it is divisible by the number (18) 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 16147145448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25681968000).

16147145448 is an abundant number, since it is smaller than the sum of its proper divisors (35216790552).

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

16147145448 is a wasteful number, since it uses less digits than its factorization.

16147145448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512 (or 21502 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 16147145448 in words is "sixteen billion, one hundred forty-seven million, one hundred forty-five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 509 756 1018 1512 1527 2036 3054 3563 4072 4581 6108 7126 9162 10689 12216 13743 14252 18324 20981 21378 27486 28504 32067 36648 41962 42756 54972 62943 64134 83924 85512 96201 109944 125886 128268 146867 167848 188829 192402 251772 256536 293734 377658 384804 440601 503544 566487 587468 755316 769608 881202 1132974 1174936 1321803 1510632 1762404 2265948 2643606 3524808 3965409 4531896 5287212 7930818 10574424 10679329 15861636 21358658 31723272 32037987 42717316 64075974 74755303 85434632 96113961 128151948 149510606 192227922 224265909 256303896 288341883 299021212 384455844 448531818 576683766 598042424 672797727 768911688 897063636 1153367532 1345595454 1794127272 2018393181 2306735064 2691190908 4036786362 5382381816 8073572724 16147145448