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2166378675200 = 21052659128413
BaseRepresentation
bin11111100001100110001…
…110110011110000000000
321200002210122200021100122
4133201212032303300000
5240443220420101300
64335115353235412
7312341611623665
oct37414616636000
97602718607318
102166378675200
11765835315043
122aba37a02b68
1312939a182bcc
1476bd35c5a6c
153b544952c85
hex1f8663b3c00

2166378675200 has 132 divisors (see below), whose sum is σ = 5378186350680. Its totient is φ = 865229783040.

The previous prime is 2166378675157. The next prime is 2166378675221. The reversal of 2166378675200 is 25768736612.

It is a happy number.

It is a super-2 number, since 2×21663786752002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16806194 + ... + 16934606.

It is an arithmetic number, because the mean of its divisors is an integer number (40743835990).

Almost surely, 22166378675200 is an apocalyptic number.

2166378675200 is a gapful number since it is divisible by the number (20) 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 2166378675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689093175340).

2166378675200 is an abundant number, since it is smaller than the sum of its proper divisors (3211807675480).

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

2166378675200 is a wasteful number, since it uses less digits than its factorization.

2166378675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129102 (or 129079 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 2166378675200 in words is "two trillion, one hundred sixty-six billion, three hundred seventy-eight million, six hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 659 800 1024 1280 1318 1600 2560 2636 3200 3295 5120 5272 6400 6590 10544 12800 13180 16475 21088 25600 26360 32950 42176 52720 65900 84352 105440 128413 131800 168704 210880 256826 263600 337408 421760 513652 527200 642065 674816 843520 1027304 1054400 1284130 1687040 2054608 2108800 2568260 3210325 3374080 4109216 4217600 5136520 6420650 8218432 8435200 10273040 12841300 16436864 16870400 20546080 25682600 32873728 41092160 51365200 65747456 82184320 84624167 102730400 131494912 164368640 169248334 205460800 328737280 338496668 410921600 423120835 657474560 676993336 821843200 846241670 1353986672 1643686400 1692483340 2115604175 2707973344 3287372800 3384966680 4231208350 5415946688 6769933360 8462416700 10831893376 13539866720 16924833400 21663786752 27079733440 33849666800 43327573504 54159466880 67699333600 86655147008 108318933760 135398667200 216637867520 270797334400 433275735040 541594668800 1083189337600 2166378675200