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16443403056 = 243448726053
BaseRepresentation
bin11110101000001101…
…00110101100110000
31120102222011102110000
433110012212230300
5232134002344211
611315355110000
71121324422413
oct172406465460
946388142400
1016443403056
116a78966103
12322aa42300
1317208b32c2
14b1dbd3b7a
156638ce656
hex3d41a6b30

16443403056 has 100 divisors (see below), whose sum is σ = 47691534352. Its totient is φ = 5469669504.

The previous prime is 16443403027. The next prime is 16443403099. The reversal of 16443403056 is 65030434461.

16443403056 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 340 + 305 + 6 = 666.

It is a super-3 number, since 3×164434030563 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16443403056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 618126 + ... + 644178.

Almost surely, 216443403056 is an apocalyptic number.

16443403056 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 16443403056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23845767176).

16443403056 is an abundant number, since it is smaller than the sum of its proper divisors (31248131296).

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

16443403056 is a wasteful number, since it uses less digits than its factorization.

16443403056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26560 (or 26545 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 16443403056 in words is "sixteen billion, four hundred forty-three million, four hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 487 648 974 1296 1461 1948 2922 3896 4383 5844 7792 8766 11688 13149 17532 23376 26053 26298 35064 39447 52106 52596 70128 78159 78894 104212 105192 156318 157788 208424 210384 234477 312636 315576 416848 468954 625272 631152 703431 937908 1250544 1406862 1875816 2110293 2813724 3751632 4220586 5627448 8441172 11254896 12687811 16882344 25375622 33764688 38063433 50751244 76126866 101502488 114190299 152253732 203004976 228380598 304507464 342570897 456761196 609014928 685141794 913522392 1027712691 1370283588 1827044784 2055425382 2740567176 4110850764 5481134352 8221701528 16443403056