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16436670855040 = 27543371982493
BaseRepresentation
bin1110111100101111010111…
…1011010111011110000000
32011012022220212000121212201
43233023311323113132000
54123244300214330130
654542522524002544
73314340012030352
oct357136573273600
964168825017781
1016436670855040
115267831215a37
121a15653990454
13922c82260b37
1440b7794870d2
151d784ed9cbca
hexef2f5ed7780

16436670855040 has 128 divisors (see below), whose sum is σ = 39439919433600. Its totient is φ = 6550281879552.

The previous prime is 16436670855023. The next prime is 16436670855061. The reversal of 16436670855040 is 4055807663461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 199208034 + ... + 199290526.

It is an arithmetic number, because the mean of its divisors is an integer number (308124370575).

Almost surely, 216436670855040 is an apocalyptic number.

16436670855040 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 16436670855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719959716800).

16436670855040 is an abundant number, since it is smaller than the sum of its proper divisors (23003248578560).

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

16436670855040 is an equidigital number, since it uses as much as digits as its factorization.

16436670855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83664 (or 83652 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 16436670855040 in words is "sixteen trillion, four hundred thirty-six billion, six hundred seventy million, eight hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 433 640 719 866 1438 1732 2165 2876 3464 3595 4330 5752 6928 7190 8660 11504 13856 14380 17320 23008 27712 28760 34640 46016 55424 57520 69280 82493 92032 115040 138560 164986 230080 277120 311327 329972 412465 460160 622654 659944 824930 1245308 1319888 1556635 1649860 2490616 2639776 3113270 3299720 4981232 5279552 6226540 6599440 9962464 10559104 12453080 13198880 19924928 24906160 26397760 35719469 39849856 49812320 52795520 59312467 71438938 99624640 118624934 142877876 178597345 199249280 237249868 285755752 296562335 357194690 474499736 571511504 593124670 714389380 948999472 1143023008 1186249340 1428778760 1897998944 2286046016 2372498680 2857557520 3795997888 4572092032 4744997360 5715115040 7591995776 9489994720 11430230080 18979989440 22860460160 25682298211 37959978880 51364596422 102729192844 128411491055 205458385688 256822982110 410916771376 513645964220 821833542752 1027291928440 1643667085504 2054583856880 3287334171008 4109167713760 8218335427520 16436670855040