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16481558240 = 255737397721
BaseRepresentation
bin11110101100110000…
…01001111011100000
31120112121221220111222
433112120021323200
5232223234330430
611323240554212
71122266635130
oct172630117340
946477856458
1016481558240
116a98456714
12323b782968
131728782234
14b24cc6ac0
15666e199e5
hex3d6609ee0

16481558240 has 96 divisors (see below), whose sum is σ = 45703030464. Its totient is φ = 5498081280.

The previous prime is 16481558221. The next prime is 16481558263. The reversal of 16481558240 is 4285518461.

16481558240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16481558191 and 16481558200.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 157421 + ... + 240300.

It is an arithmetic number, because the mean of its divisors is an integer number (476073234).

Almost surely, 216481558240 is an apocalyptic number.

16481558240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16481558240 is an abundant number, since it is smaller than the sum of its proper divisors (29221472224).

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

16481558240 is a wasteful number, since it uses less digits than its factorization.

16481558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397780 (or 397772 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The spelling of 16481558240 in words is "sixteen billion, four hundred eighty-one million, five hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2960 4144 5180 5920 8288 10360 20720 41440 397721 795442 1590884 1988605 2784047 3181768 3977210 5568094 6363536 7954420 11136188 12727072 13920235 14715677 15908840 22272376 27840470 29431354 31817680 44544752 55680940 58862708 63635360 73578385 89089504 103009739 111361880 117725416 147156770 206019478 222723760 235450832 294313540 412038956 445447520 470901664 515048695 588627080 824077912 1030097390 1177254160 1648155824 2060194780 2354508320 3296311648 4120389560 8240779120 16481558240