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2161349352 = 233329389887
BaseRepresentation
bin1000000011010011…
…1001001011101000
312120121221220221000
42000310321023220
513411301134402
6554245115000
7104363111031
oct20064711350
95517856830
102161349352
11a0a030838
125039b8a60
13285a1b056
14167099a88
15c9b34c1c
hex80d392e8

2161349352 has 128 divisors (see below), whose sum is σ = 6233760000. Its totient is φ = 693036288.

The previous prime is 2161349347. The next prime is 2161349363. The reversal of 2161349352 is 2539431612.

2161349352 is a `hidden beast` number, since 2 + 1 + 613 + 4 + 9 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2436253 + ... + 2437139.

It is an arithmetic number, because the mean of its divisors is an integer number (48701250).

Almost surely, 22161349352 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 2161349352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116880000).

2161349352 is an abundant number, since it is smaller than the sum of its proper divisors (4072410648).

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

2161349352 is a wasteful number, since it uses less digits than its factorization.

2161349352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1310 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2161349352 is about 46490.3146042270. The cubic root of 2161349352 is about 1292.9299330575.

The spelling of 2161349352 in words is "two billion, one hundred sixty-one million, three hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 389 522 696 778 783 887 1044 1167 1556 1566 1774 2088 2334 2661 3112 3132 3501 3548 4668 5322 6264 7002 7096 7983 9336 10503 10644 11281 14004 15966 21006 21288 22562 23949 25723 28008 31932 33843 42012 45124 47898 51446 63864 67686 77169 84024 90248 95796 101529 102892 135372 154338 191592 203058 205784 231507 270744 304587 308676 345043 406116 463014 609174 617352 690086 694521 812232 926028 1035129 1218348 1380172 1389042 1852056 2070258 2436696 2760344 2778084 3105387 4140516 5556168 6210774 8281032 9316161 10006247 12421548 18632322 20012494 24843096 30018741 37264644 40024988 60037482 74529288 80049976 90056223 120074964 180112446 240149928 270168669 360224892 540337338 720449784 1080674676 2161349352