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16029760992 = 2537194912239
BaseRepresentation
bin11101110110111001…
…01011110111100000
31112101010211020012120
432323130223313200
5230312104322432
611210341224240
71105142502030
oct167334536740
945333736176
1016029760992
116886422763
123134402080
131685ca649b
14ac0cbb8c0
1563c423c2c
hex3bb72bde0

16029760992 has 96 divisors (see below), whose sum is σ = 48117888000. Its totient is φ = 4577207808.

The previous prime is 16029760979. The next prime is 16029761003. The reversal of 16029760992 is 29906792061.

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

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, 1303609 + ... + 1315847.

It is an arithmetic number, because the mean of its divisors is an integer number (501228000).

Almost surely, 216029760992 is an apocalyptic number.

16029760992 is a gapful number since it is divisible by the number (12) 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 16029760992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

16029760992 is an abundant number, since it is smaller than the sum of its proper divisors (32088127008).

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

16029760992 is a wasteful number, since it uses less digits than its factorization.

16029760992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14200 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 16029760992 in words is "sixteen billion, twenty-nine million, seven hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1949 3898 5847 7796 11694 12239 13643 15592 23388 24478 27286 31184 36717 40929 46776 48956 54572 62368 73434 81858 85673 93552 97912 109144 146868 163716 171346 187104 195824 218288 257019 293736 327432 342692 391648 436576 514038 587472 654864 685384 1028076 1174944 1309728 1370768 2056152 2741536 4112304 8224608 23853811 47707622 71561433 95415244 143122866 166976677 190830488 286245732 333953354 381660976 500930031 572491464 667906708 763321952 1001860062 1144982928 1335813416 2003720124 2289965856 2671626832 4007440248 5343253664 8014880496 16029760992