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14768169984 = 210329111759
BaseRepresentation
bin11011100000100000…
…00110010000000000
31102010012220202200200
431300100012100000
5220221122414414
610441233045200
71031653242111
oct156020062000
942105822620
1014768169984
116299279767
122a419b6800
1315147c8b29
14a01518208
155b67be109
hex370406400

14768169984 has 132 divisors (see below), whose sum is σ = 42713848320. Its totient is φ = 4914524160.

The previous prime is 14768169971. The next prime is 14768170007. The reversal of 14768169984 is 48996186741.

14768169984 is a `hidden beast` number, since 1 + 476 + 81 + 6 + 9 + 9 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8394897 + ... + 8396655.

It is an arithmetic number, because the mean of its divisors is an integer number (323589760).

Almost surely, 214768169984 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 14768169984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356924160).

14768169984 is an abundant number, since it is smaller than the sum of its proper divisors (27945678336).

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

14768169984 is a wasteful number, since it uses less digits than its factorization.

14768169984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2675 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 14768169984 in words is "fourteen billion, seven hundred sixty-eight million, one hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 911 1024 1152 1536 1759 1822 2304 2733 3072 3518 3644 4608 5277 5466 7036 7288 8199 9216 10554 10932 14072 14576 15831 16398 21108 21864 28144 29152 31662 32796 42216 43728 56288 58304 63324 65592 84432 87456 112576 116608 126648 131184 168864 174912 225152 233216 253296 262368 337728 349824 450304 466432 506592 524736 675456 699648 900608 932864 1013184 1049472 1350912 1399296 1602449 1801216 2026368 2098944 2701824 2798592 3204898 4052736 4197888 4807347 5403648 6409796 8105472 8395776 9614694 12819592 14422041 16210944 19229388 25639184 28844082 38458776 51278368 57688164 76917552 102556736 115376328 153835104 205113472 230752656 307670208 410226944 461505312 615340416 820453888 923010624 1230680832 1640907776 1846021248 2461361664 3692042496 4922723328 7384084992 14768169984