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16290978336 = 253318855299
BaseRepresentation
bin11110010110000010…
…01001101000100000
31120001100100110001000
433023001021220200
5231330442301321
611252312112000
71114464013443
oct171301115040
946040313030
1016290978336
1169aa918166
1231a7995600
1316c8145869
14b0787765a
15655321826
hex3cb049a20

16290978336 has 48 divisors (see below), whose sum is σ = 47515356000. Its totient is φ = 5430325824.

The previous prime is 16290978311. The next prime is 16290978349. The reversal of 16290978336 is 63387909261.

16290978336 is a `hidden beast` number, since 1 + 629 + 0 + 9 + 7 + 8 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9426786 + ... + 9428513.

It is an arithmetic number, because the mean of its divisors is an integer number (989903250).

Almost surely, 216290978336 is an apocalyptic number.

16290978336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16290978336 is an abundant number, since it is smaller than the sum of its proper divisors (31224377664).

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

16290978336 is a wasteful number, since it uses less digits than its factorization.

16290978336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18855318 (or 18855304 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 16290978336 in words is "sixteen billion, two hundred ninety million, nine hundred seventy-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 18855299 37710598 56565897 75421196 113131794 150842392 169697691 226263588 301684784 339395382 452527176 509093073 603369568 678790764 905054352 1018186146 1357581528 1810108704 2036372292 2715163056 4072744584 5430326112 8145489168 16290978336