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212008744608 = 25317214475281
BaseRepresentation
bin1100010101110010110…
…1001011011010100000
3202021020020212010012020
43011130231023122200
511433143214311413
6241221231101440
721213526411143
oct3053455133240
9667206763166
10212008744608
1181a04455821
1235109371880
1316cb922600b
14a392d3805a
1557ac870c23
hex315cb4b6a0

212008744608 has 144 divisors (see below), whose sum is σ = 591705866304. Its totient is φ = 66453995520.

The previous prime is 212008744583. The next prime is 212008744711. The reversal of 212008744608 is 806447800212.

It is a self number, because there is not a number n which added to its sum of digits gives 212008744608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40142928 + ... + 40148208.

It is an arithmetic number, because the mean of its divisors is an integer number (4109068516).

Almost surely, 2212008744608 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 212008744608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295852933152).

212008744608 is an abundant number, since it is smaller than the sum of its proper divisors (379697121696).

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

212008744608 is a wasteful number, since it uses less digits than its factorization.

212008744608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6750 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 212008744608 in words is "two hundred twelve billion, eight million, seven hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 289 408 544 578 816 867 1156 1447 1632 1734 2312 2894 3468 4341 4624 5281 5788 6936 8682 9248 10562 11576 13872 15843 17364 21124 23152 24599 27744 31686 34728 42248 46304 49198 63372 69456 73797 84496 89777 98396 126744 138912 147594 168992 179554 196792 253488 269331 295188 359108 393584 418183 506976 538662 590376 718216 787168 836366 1077324 1180752 1254549 1436432 1526209 1672732 2154648 2361504 2509098 2872864 3052418 3345464 4309296 4578627 5018196 6104836 6690928 7641607 8618592 9157254 10036392 12209672 13381856 15283214 18314508 20072784 22924821 24419344 30566428 36629016 40145568 45849642 48838688 61132856 73258032 91699284 122265712 129907319 146516064 183398568 244531424 259814638 366797136 389721957 519629276 733594272 779443914 1039258552 1558887828 2078517104 2208424423 3117775656 4157034208 4416848846 6235551312 6625273269 8833697692 12471102624 13250546538 17667395384 26501093076 35334790768 53002186152 70669581536 106004372304 212008744608