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16290069504 = 210318129297
BaseRepresentation
bin11110010101111011…
…01011110000000000
31120001021122021100120
433022331223300000
5231330224211004
611252240420240
71114453210002
oct171275536000
946037567316
1016290069504
1169aa357365
1231a7617680
1316c7bb7ca7
14b076bc372
156551e23d9
hex3caf6bc00

16290069504 has 88 divisors (see below), whose sum is σ = 43660348368. Its totient is φ = 5399838720.

The previous prime is 16290069487. The next prime is 16290069547. The reversal of 16290069504 is 40596009261.

It is a happy number.

16290069504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 541384 + ... + 570680.

Almost surely, 216290069504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16290069504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21830174184).

16290069504 is an abundant number, since it is smaller than the sum of its proper divisors (27370278864).

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

16290069504 is a wasteful number, since it uses less digits than its factorization.

16290069504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29501 (or 29483 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 16290069504 in words is "sixteen billion, two hundred ninety million, sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1024 1086 1448 1536 2172 2896 3072 4344 5792 8688 11584 17376 23168 29297 34752 46336 58594 69504 87891 92672 117188 139008 175782 185344 234376 278016 351564 468752 556032 703128 937504 1406256 1875008 2812512 3750016 5302757 5625024 7500032 10605514 11250048 15000064 15908271 21211028 22500096 30000128 31816542 42422056 45000192 63633084 84844112 90000384 127266168 169688224 254532336 339376448 509064672 678752896 1018129344 1357505792 2036258688 2715011584 4072517376 5430023168 8145034752 16290069504