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211193324797312 = 27111321929526157
BaseRepresentation
bin110000000001010001000111…
…000110100111110110000000
31000200202212212220222222202001
4300001101013012213312000
5210140142412122003222
62025100512442233344
762325133316254624
oct6001210706476600
91020685786888661
10211193324797312
116132464a05a920
121b82a8211b5854
1390ac5a2a99b10
143a21b5090b184
151963952b5ee27
hexc014471a7d80

211193324797312 has 128 divisors (see below), whose sum is σ = 494315549229600. Its totient is φ = 88608374538240.

The previous prime is 211193324797283. The next prime is 211193324797361. The reversal of 211193324797312 is 213797423391112.

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, 401125338 + ... + 401651494.

Almost surely, 2211193324797312 is an apocalyptic number.

211193324797312 is a gapful number since it is divisible by the number (22) 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 211193324797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247157774614800).

211193324797312 is an abundant number, since it is smaller than the sum of its proper divisors (283122224432288).

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

211193324797312 is a wasteful number, since it uses less digits than its factorization.

211193324797312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548124 (or 548112 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 55.

The spelling of 211193324797312 in words is "two hundred eleven trillion, one hundred ninety-three billion, three hundred twenty-four million, seven hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 18304 21929 43858 87716 175432 241219 285077 350864 482438 526157 570154 701728 964876 1052314 1140308 1403456 1929752 2104628 2280616 2806912 3135847 3859504 4209256 4561232 5787727 6271694 6840041 7719008 8418512 9122464 11575454 12543388 13680082 15438016 16837024 18244928 23150908 25086776 27360164 30876032 33674048 36489856 46301816 50173552 54720328 67348096 75240451 92603632 100347104 109440656 150480902 185207264 200694208 218881312 300961804 370414528 401388416 437762624 601923608 740829056 875525248 1203847216 2407694432 4815388864 9630777728 11538096853 23076193706 46152387412 92304774824 126919065383 149995259089 184609549648 253838130766 299990518178 369219099296 507676261532 599981036356 738438198592 1015352523064 1199962072712 1476876397184 1649947849979 2030705046128 2399924145424 3299895699958 4061410092256 4799848290848 6599791399916 8122820184512 9599696581696 13199582799832 16245640369024 19199393163392 26399165599664 52798331199328 105596662398656 211193324797312