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16060345632 = 253459105019
BaseRepresentation
bin11101111010100010…
…10110110100100000
31112110021101002110000
432331101112310200
5230342422030012
611213352540000
71105663454052
oct167521266440
945407332400
1016060345632
1168a1712421
1231426b1600
13168c4245c6
14ac4d9d8d2
1563ee65ddc
hex3bd456d20

16060345632 has 120 divisors (see below), whose sum is σ = 48034047600. Its totient is φ = 5262662016.

The previous prime is 16060345619. The next prime is 16060345711. The reversal of 16060345632 is 23654306061.

16060345632 is a `hidden beast` number, since 1 + 6 + 0 + 60 + 34 + 563 + 2 = 666.

16060345632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 100419 + ... + 205437.

It is an arithmetic number, because the mean of its divisors is an integer number (400283730).

Almost surely, 216060345632 is an apocalyptic number.

16060345632 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 16060345632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017023800).

16060345632 is an abundant number, since it is smaller than the sum of its proper divisors (31973701968).

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

16060345632 is a wasteful number, since it uses less digits than its factorization.

16060345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105100 (or 105083 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 16060345632 in words is "sixteen billion, sixty million, three hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 81 96 108 118 144 162 177 216 236 288 324 354 432 472 531 648 708 864 944 1062 1296 1416 1593 1888 2124 2592 2832 3186 4248 4779 5664 6372 8496 9558 12744 16992 19116 25488 38232 50976 76464 105019 152928 210038 315057 420076 630114 840152 945171 1260228 1680304 1890342 2520456 2835513 3360608 3780684 5040912 5671026 6196121 7561368 8506539 10081824 11342052 12392242 15122736 17013078 18588363 22684104 24784484 30245472 34026156 37176726 45368208 49568968 55765089 68052312 74353452 90736416 99137936 111530178 136104624 148706904 167295267 198275872 223060356 272209248 297413808 334590534 446120712 501885801 594827616 669181068 892241424 1003771602 1338362136 1784482848 2007543204 2676724272 4015086408 5353448544 8030172816 16060345632