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16140666320 = 24517103311489
BaseRepresentation
bin11110000100000111…
…10000010111010000
31112122212111210201022
433002003300113100
5231024002310240
611225342255012
71110660254132
oct170203602720
945585453638
1016140666320
116932a92559
123165587468
1316a2c6793c
14ad190b052
1564702e9b5
hex3c20f05d0

16140666320 has 80 divisors (see below), whose sum is σ = 39776449680. Its totient is φ = 6070075392.

The previous prime is 16140666317. The next prime is 16140666331. The reversal of 16140666320 is 2366604161.

It can be written as a sum of positive squares in 8 ways, for example, as 837986704 + 15302679616 = 28948^2 + 123704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×161406663202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399136 + ... + 1410624.

It is an arithmetic number, because the mean of its divisors is an integer number (497205621).

Almost surely, 216140666320 is an apocalyptic number.

16140666320 is a gapful number since it is divisible by the number (10) 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 16140666320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888224840).

16140666320 is an abundant number, since it is smaller than the sum of its proper divisors (23635783360).

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

16140666320 is a wasteful number, since it uses less digits than its factorization.

16140666320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12552 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 16140666320 in words is "sixteen billion, one hundred forty million, six hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1033 1360 2066 4132 5165 8264 10330 11489 16528 17561 20660 22978 35122 41320 45956 57445 70244 82640 87805 91912 114890 140488 175610 183824 195313 229780 280976 351220 390626 459560 702440 781252 919120 976565 1404880 1562504 1953130 3125008 3906260 7812520 11868137 15625040 23736274 47472548 59340685 94945096 118681370 189890192 201758329 237362740 403516658 474725480 807033316 949450960 1008791645 1614066632 2017583290 3228133264 4035166580 8070333160 16140666320