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214173570330912 = 25314981118462373
BaseRepresentation
bin110000101100101000101011…
…100101000111000100100000
31001002022210102100202101201110
4300230220223211013010200
5211033004433001042122
62035301551355103320
763053346505315353
oct6054505345070440
91032283370671643
10214173570330912
1162273556a5a605
1220030333441b40
139267633a5c83a
143ac60add9429a
1519b622ce8890c
hexc2ca2b947120

214173570330912 has 96 divisors (see below), whose sum is σ = 566676722606400. Its totient is φ = 70824612971520.

The previous prime is 214173570330823. The next prime is 214173570330917. The reversal of 214173570330912 is 219033075371412.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (214173570330917) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2369358 + ... + 20831730.

It is an arithmetic number, because the mean of its divisors is an integer number (5902882527150).

Almost surely, 2214173570330912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214173570330912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283338361303200).

214173570330912 is an abundant number, since it is smaller than the sum of its proper divisors (352503152275488).

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

214173570330912 is a wasteful number, since it uses less digits than its factorization.

214173570330912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463346 (or 18463338 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 214173570330912 in words is "two hundred fourteen trillion, one hundred seventy-three billion, five hundred seventy million, three hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 811 894 1192 1622 1788 2384 2433 3244 3576 4768 4866 6488 7152 9732 12976 14304 19464 25952 38928 77856 120839 241678 362517 483356 725034 966712 1450068 1933424 2900136 3866848 5800272 11600544 18462373 36924746 55387119 73849492 110774238 147698984 221548476 295397968 443096952 590795936 886193904 1772387808 2750893577 5501787154 8252680731 11003574308 14972984503 16505361462 22007148616 29945969006 33010722924 44014297232 44918953509 59891938012 66021445848 88028594464 89837907018 119783876024 132042891696 179675814036 239567752048 264085783392 359351628072 479135504096 718703256144 1437406512288 2230974690947 4461949381894 6692924072841 8923898763788 13385848145682 17847797527576 26771696291364 35695595055152 53543392582728 71391190110304 107086785165456 214173570330912