Search a number
-
+
49182033472 = 26111341131071
BaseRepresentation
bin101101110011011110…
…100100011001000000
311200221120200011111021
4231303132210121000
51301211100032342
634332141355224
73360530246455
oct556336443100
9150846604437
1049182033472
1119948a80760
129646b68b14
13483a469170
142547c4982c
15142cb6e567
hexb737a4640

49182033472 has 112 divisors (see below), whose sum is σ = 117455192064. Its totient is φ = 20132352000.

The previous prime is 49182033469. The next prime is 49182033491. The reversal of 49182033472 is 27433028194.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 309697 + ... + 440767.

It is an arithmetic number, because the mean of its divisors is an integer number (1048707072).

Almost surely, 249182033472 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 49182033472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58727596032).

49182033472 is an abundant number, since it is smaller than the sum of its proper divisors (68273158592).

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

49182033472 is a wasteful number, since it uses less digits than its factorization.

49182033472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131148 (or 131138 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 49182033472 in words is "forty-nine billion, one hundred eighty-two million, thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 64 82 88 104 143 164 176 208 286 328 352 416 451 533 572 656 704 832 902 1066 1144 1312 1804 2132 2288 2624 3608 4264 4576 5863 7216 8528 9152 11726 14432 17056 23452 28864 34112 46904 93808 131071 187616 262142 375232 524284 1048568 1441781 1703923 2097136 2883562 3407846 4194272 5373911 5767124 6815692 8388544 10747822 11534248 13631384 18743153 21495644 23068496 27262768 37486306 42991288 46136992 54525536 59113021 69860843 74972612 85982576 92273984 109051072 118226042 139721686 149945224 171965152 236452084 279443372 299890448 343930304 472904168 558886744 599780896 768469273 945808336 1117773488 1199561792 1536938546 1891616672 2235546976 3073877092 3783233344 4471093952 6147754184 12295508368 24591016736 49182033472