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211144230202208 = 2517249334628287
BaseRepresentation
bin110000000000100011011000…
…110101100110101101100000
31000200121012011102212011010212
4300000203120311212231200
5210133341340412432313
62025022153102513252
762321444600141402
oct6000433065465540
91020535142764125
10211144230202208
1161305846480986
121b8211bb595828
1390a7a7a796944
143a1d614542b72
15196252ca133a8
hexc008d8d66b60

211144230202208 has 72 divisors (see below), whose sum is σ = 441670553638272. Its totient is φ = 99341826914304.

The previous prime is 211144230202189. The next prime is 211144230202231. The reversal of 211144230202208 is 802202032441112.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 43306241 + ... + 47934527.

It is an arithmetic number, because the mean of its divisors is an integer number (6134313244976).

Almost surely, 2211144230202208 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 211144230202208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220835276819136).

211144230202208 is an abundant number, since it is smaller than the sum of its proper divisors (230526323436064).

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

211144230202208 is a wasteful number, since it uses less digits than its factorization.

211144230202208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4633264 (or 4633239 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 211144230202208 in words is "two hundred eleven trillion, one hundred forty-four billion, two hundred thirty million, two hundred two thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 4624 4933 9248 9866 19732 39464 78928 83861 157856 167722 335444 670888 1341776 1425637 2683552 2851274 4628287 5702548 9256574 11405096 18513148 22810192 37026296 45620384 74052592 78680879 148105184 157361758 314723516 629447032 1258894064 1337574943 2517788128 2675149886 5350299772 10700599544 21401199088 22831339771 42802398176 45662679542 91325359084 182650718168 365301436336 388132776107 730602872672 776265552214 1552531104428 3105062208856 6210124417712 6598257193819 12420248835424 13196514387638 26393028775276 52786057550552 105572115101104 211144230202208