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49933663974 = 2333135983089
BaseRepresentation
bin101110100000010001…
…110011111011100110
311202212221222221201000
4232200101303323212
51304231004221344
634534511414130
73415255066155
oct564021637346
9152787887630
1049933663974
111a1a4284897
129816824346
13492a0b4b3c
1425b99c359c
151473b3ea69
hexba0473ee6

49933663974 has 64 divisors (see below), whose sum is σ = 114863616000. Its totient is φ = 16062572160.

The previous prime is 49933663973. The next prime is 49933664023. The reversal of 49933663974 is 47936633994.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49933663973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559422 + ... + 642510.

It is an arithmetic number, because the mean of its divisors is an integer number (1794744000).

Almost surely, 249933663974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49933663974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57431808000).

49933663974 is an abundant number, since it is smaller than the sum of its proper divisors (64929952026).

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

49933663974 is a wasteful number, since it uses less digits than its factorization.

49933663974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83490 (or 83484 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 63.

The spelling of 49933663974 in words is "forty-nine billion, nine hundred thirty-three million, six hundred sixty-three thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 359 558 718 837 1077 1674 2154 3231 6462 9693 11129 19386 22258 33387 66774 83089 100161 166178 200322 249267 300483 498534 600966 747801 1495602 2243403 2575759 4486806 5151518 7727277 15454554 23181831 29828951 46363662 59657902 69545493 89486853 139090986 178973706 268460559 536921118 805381677 924697481 1610763354 1849394962 2774092443 5548184886 8322277329 16644554658 24966831987 49933663974