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16381441824 = 2531153292693
BaseRepresentation
bin11110100000110100…
…01111011100100000
31120021122120110121120
433100122033130200
5232022122114244
611305303052240
71116642646416
oct172032173440
946248513546
1016381441824
116a46995780
123212141080
131710aca757
14b158a52b6
1565d240819
hex3d068f720

16381441824 has 96 divisors (see below), whose sum is σ = 47795759424. Its totient is φ = 4870394880.

The previous prime is 16381441807. The next prime is 16381441861. The reversal of 16381441824 is 42814418361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

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, 90379 + ... + 202314.

It is an arithmetic number, because the mean of its divisors is an integer number (497872494).

Almost surely, 216381441824 is an apocalyptic number.

It is an amenable number.

16381441824 is an abundant number, since it is smaller than the sum of its proper divisors (31414317600).

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

16381441824 is a wasteful number, since it uses less digits than its factorization.

16381441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292770 (or 292762 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The spelling of 16381441824 in words is "sixteen billion, three hundred eighty-one million, four hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 66 88 96 106 132 159 176 212 264 318 352 424 528 583 636 848 1056 1166 1272 1696 1749 2332 2544 3498 4664 5088 6996 9328 13992 18656 27984 55968 292693 585386 878079 1170772 1756158 2341544 3219623 3512316 4683088 6439246 7024632 9366176 9658869 12878492 14049264 15512729 19317738 25756984 28098528 31025458 38635476 46538187 51513968 62050916 77270952 93076374 103027936 124101832 154541904 170640019 186152748 248203664 309083808 341280038 372305496 496407328 511920057 682560076 744610992 1023840114 1365120152 1489221984 2047680228 2730240304 4095360456 5460480608 8190720912 16381441824