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49049352216 = 233237131140549
BaseRepresentation
bin101101101011100100…
…011011100000011000
311200121100000021000200
4231223210123200120
51300423113232331
634311041502200
73354326420604
oct555344334030
9150540007020
1049049352216
1119890098327
12960a641960
134818b22147
14253438c504
1514211b15e6
hexb6b91b818

49049352216 has 96 divisors (see below), whose sum is σ = 137474766000. Its totient is φ = 15786351360.

The previous prime is 49049352211. The next prime is 49049352229. The reversal of 49049352216 is 61225394094.

49049352216 is a `hidden beast` number, since 4 + 90 + 493 + 52 + 21 + 6 = 666.

It is a super-2 number, since 2×490493522162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49049352211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278710 + ... + 419258.

Almost surely, 249049352216 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 49049352216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68737383000).

49049352216 is an abundant number, since it is smaller than the sum of its proper divisors (88425413784).

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

49049352216 is a wasteful number, since it uses less digits than its factorization.

49049352216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140729 (or 140722 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 49049352216 in words is "forty-nine billion, forty-nine million, three hundred fifty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 131 148 222 262 296 333 393 444 524 666 786 888 1048 1179 1332 1572 2358 2664 3144 4716 4847 9432 9694 14541 19388 29082 38776 43623 58164 87246 116328 140549 174492 281098 348984 421647 562196 843294 1124392 1264941 1686588 2529882 3373176 5059764 5200313 10119528 10400626 15600939 18411919 20801252 31201878 36823838 41602504 46802817 55235757 62403756 73647676 93605634 110471514 124807512 147295352 165707271 187211268 220943028 331414542 374422536 441886056 662829084 681241003 1325658168 1362482006 2043723009 2724964012 4087446018 5449928024 6131169027 8174892036 12262338054 16349784072 24524676108 49049352216