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16444330677400 = 2352734093275183
BaseRepresentation
bin1110111101001011111001…
…1111010001010010011000
32011020001200200022220210011
43233102332133101102120
54123410442123134100
654550230552331304
73315030562323103
oct357227637212230
964201620286704
1016444330677400
115270001a6793a
121a170310a3b34
139239031797c2
1440bca48bd73a
151d7b4c59ebba
hexef4be7d1498

16444330677400 has 96 divisors (see below), whose sum is σ = 38766419415360. Its totient is φ = 6486017725440.

The previous prime is 16444330677373. The next prime is 16444330677421. The reversal of 16444330677400 is 477603344461.

It is a super-2 number, since 2×164443306774002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59620209 + ... + 59895391.

It is an arithmetic number, because the mean of its divisors is an integer number (403816868910).

Almost surely, 216444330677400 is an apocalyptic number.

16444330677400 is a gapful number since it is divisible by the number (10) 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 16444330677400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383209707680).

16444330677400 is an abundant number, since it is smaller than the sum of its proper divisors (22322088737960).

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

16444330677400 is a wasteful number, since it uses less digits than its factorization.

16444330677400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279365 (or 279356 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 49.

The spelling of 16444330677400 in words is "sixteen trillion, four hundred forty-four billion, three hundred thirty million, six hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 4093 7300 8186 14600 16372 20465 32744 40930 81860 102325 163720 204650 275183 298789 409300 550366 597578 818600 1100732 1195156 1375915 1493945 2201464 2390312 2751830 2987890 5503660 5975780 6879575 7469725 11007320 11951560 13759150 14939450 20088359 27518300 29878900 40176718 55036600 59757800 80353436 100441795 160706872 200883590 401767180 502208975 803534360 1004417950 1126324019 2008835900 2252648038 4017671800 4505296076 5631620095 9010592152 11263240190 22526480380 28158100475 45052960760 56316200950 82221653387 112632401900 164443306774 225264803800 328886613548 411108266935 657773227096 822216533870 1644433067740 2055541334675 3288866135480 4111082669350 8222165338700 16444330677400