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3850282969938 = 23219471987120551
BaseRepresentation
bin111000000001110110101…
…111111010101101010010
3111122002020211200112211200
4320001312233322231102
51001040334420014223
612104443502252030
7545113413152106
oct70016657725522
914562224615750
103850282969938
1112549943a5a79
12522263b87016
1321c107063712
14d44d73ab906
156a24c173a43
hex38076bfab52

3850282969938 has 96 divisors (see below), whose sum is σ = 8972772157440. Its totient is φ = 1189400306400.

The previous prime is 3850282969937. The next prime is 3850282969987. The reversal of 3850282969938 is 8399692820583.

3850282969938 is a `hidden beast` number, since 3 + 8 + 502 + 8 + 29 + 6 + 9 + 93 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3850282969937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31878763 + ... + 31999313.

It is an arithmetic number, because the mean of its divisors is an integer number (93466376640).

Almost surely, 23850282969938 is an apocalyptic number.

3850282969938 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3850282969938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486386078720).

3850282969938 is an abundant number, since it is smaller than the sum of its proper divisors (5122489187502).

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

3850282969938 is a wasteful number, since it uses less digits than its factorization.

3850282969938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122612 (or 122609 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 3850282969938 in words is "three trillion, eight hundred fifty billion, two hundred eighty-two million, nine hundred sixty-nine thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 846 893 1786 1987 2679 3974 5358 5961 8037 11922 16074 17883 35766 37753 75506 93389 113259 120551 186778 226518 241102 280167 339777 361653 560334 679554 723306 840501 1084959 1681002 1774391 2169918 2290469 3548782 4580938 5323173 5665897 6871407 10646346 11331794 13742814 15969519 16997691 20614221 31939038 33995382 41228442 50993073 101986146 107652043 215304086 239534837 322956129 479069674 645912258 718604511 968868387 1437209022 1937736774 2155813533 4311627066 4551161903 9102323806 11258137339 13653485709 22516274678 27306971418 33774412017 40960457127 67548824034 81920914254 101323236051 202646472102 213904609441 427809218882 641713828323 1283427656646 1925141484969 3850282969938