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14978162990016 = 263323713655807
BaseRepresentation
bin1101100111110110000000…
…0101011001101111000000
31222000220020221011100001000
43121331200011121233000
53430400234211140031
651504512330412000
73104064561522342
oct331754005315700
958026227140030
1014978162990016
114855226589796
12181aa50591000
138485860971b5
1439ad38641292
151ae93a4ce3e6
hexd9f60159bc0

14978162990016 has 112 divisors (see below), whose sum is σ = 44051609006080. Its totient is φ = 4990613886720.

The previous prime is 14978162989969. The next prime is 14978162990029. The reversal of 14978162990016 is 61009926187941.

14978162990016 is a `hidden beast` number, since 1 + 497 + 81 + 62 + 9 + 9 + 0 + 0 + 1 + 6 = 666.

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, 2269185 + ... + 5924991.

Almost surely, 214978162990016 is an apocalyptic number.

14978162990016 is a gapful number since it is divisible by the number (16) 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 14978162990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025804503040).

14978162990016 is an abundant number, since it is smaller than the sum of its proper divisors (29073446016064).

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

14978162990016 is a wasteful number, since it uses less digits than its factorization.

14978162990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658199 (or 3658183 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 14978162990016 in words is "fourteen trillion, nine hundred seventy-eight billion, one hundred sixty-two million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2371 4742 7113 9484 14226 18968 21339 28452 37936 42678 56904 64017 75872 85356 113808 128034 151744 170712 227616 256068 341424 455232 512136 682848 1024272 1365696 2048544 3655807 4097088 7311614 10967421 14623228 21934842 29246456 32902263 43869684 58492912 65804526 87739368 98706789 116985824 131609052 175478736 197413578 233971648 263218104 350957472 394827156 526436208 701914944 789654312 1052872416 1579308624 2105744832 3158617248 6317234496 8667918397 17335836794 26003755191 34671673588 52007510382 69343347176 78011265573 104015020764 138686694352 156022531146 208030041528 234033796719 277373388704 312045062292 416060083056 468067593438 554746777408 624090124584 832120166112 936135186876 1248180249168 1664240332224 1872270373752 2496360498336 3744540747504 4992720996672 7489081495008 14978162990016