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29852149296 = 2437313961291
BaseRepresentation
bin11011110011010100…
…111010011000110000
32212001110002022100010
4123303110322120300
5442114122234141
621414111054520
72104523040144
oct336324723060
985043068303
1029852149296
111172983a672
125951511440
132a79869588
14163295d224
15b9ab71416
hex6f353a630

29852149296 has 80 divisors (see below), whose sum is σ = 78738154880. Its totient is φ = 9743639040.

The previous prime is 29852149279. The next prime is 29852149309. The reversal of 29852149296 is 69294125892.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

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, 456411 + ... + 517701.

It is an arithmetic number, because the mean of its divisors is an integer number (984226936).

Almost surely, 229852149296 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 29852149296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39369077440).

29852149296 is an abundant number, since it is smaller than the sum of its proper divisors (48886005584).

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

29852149296 is a wasteful number, since it uses less digits than its factorization.

29852149296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61514 (or 61508 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 29852149296 in words is "twenty-nine billion, eight hundred fifty-two million, one hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 139 146 219 278 292 417 438 556 584 834 876 1112 1168 1668 1752 2224 3336 3504 6672 10147 20294 30441 40588 60882 61291 81176 121764 122582 162352 183873 243528 245164 367746 487056 490328 735492 980656 1470984 2941968 4474243 8519449 8948486 13422729 17038898 17896972 25558347 26845458 34077796 35793944 51116694 53690916 68155592 71587888 102233388 107381832 136311184 204466776 214763664 408933552 621919777 1243839554 1865759331 2487679108 3731518662 4975358216 7463037324 9950716432 14926074648 29852149296